Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
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Graduate Proving the converse of Frobenius' theorem characterization
- toogood
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Graduate Covariant derivative in polar coordinates
- aPhilosopher
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Graduate Semigeodesic parameterization and geodesic curvature equations
- ^_^physicist
- · Replies 1 ·
Graduate Proving del_X(Y)=0.5[X,Y] in Lie Group Geometry
- sroeyz
- · Replies 1 ·
Graduate Proof of Epstein Gage Lemma: Aditya Tatu
- adityatatu
- · Replies 1 ·
Graduate Differential forms problems from Do Carmo textbook
- shankarvn
- · Replies 1 ·
Graduate What Does It Mean for a Function to Be Continuous on a Curve?
- T-O7
- · Replies 1 ·
Graduate Geodesic in plane when metric depends on single variable?
- rhe
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Graduate What Does 'To Lowest Order' Mean in the Derivation of Riemann Curvature Tensor?
- FaithSeeker
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Graduate Product Space: Example of Unrestricted Open Set Not Open in Product Topology
- symbol0
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Graduate Convergent Filter Base and Continuous Function
- jetplan
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Graduate Why is compactness important in topology?
- Tac-Tics
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Graduate How Can a Function Be a Submersion on Manifolds Without Forming a Fiber Bundle?
- Big-T
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Graduate Is it possible to flatten the metric on a sphere?
- marcgrr
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Graduate Can a Wild Metric on a 2D Disc Prevent Isometric Embedding in R^3?
- wofsy
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Graduate Why is the subspace topology on RP^n difficult to grasp?
- homomorphism
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Graduate Does the tangent space definition apply to curved manifolds?
- zankaon
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Graduate Integrating Tensor on Riemannian 2-Manifold at Point p
- GPPaille
- · Replies 3 ·
High School What Percentage of a Sphere's Surface Area is in Contact with the Surface?
- kaloyan5
- · Replies 1 ·
Graduate Proving a Theorem on Point-Set Topology
- ForMyThunder
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Graduate Lie Theory Question: Eigenvalues of Adjoint Action of H on \mathfrak{g}
- QuarkHead
- · Replies 1 ·
Graduate Calculating surface normal vector
- andykol
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Graduate Prove that the bth projection map is continuous and open.
- ForMyThunder
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Graduate Is the direct sum of two circles a covering set for the circle?
- Tac-Tics
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Graduate Proving the Circle's Connectedness Using Projection and Open Covers
- PhysicalAnomaly
- · Replies 7 ·
Graduate Finding the Centroid of a Spherical Crescent
- Dehstil
- · Replies 1 ·
High School Geometry - The area and the goat
- Dafoe
- · Replies 1 ·
Undergrad Introductory differential geometry text
- studious
- · Replies 8 ·
High School How To Find Sides Of Right Triangle With Known Angles And Area?
- DaleSwanson
- · Replies 2 ·
Undergrad Solving the Overlapping Squares Puzzle
- Dafoe
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Graduate Is a mixed second rank tensor reducible?
- jason12345
- · Replies 6 ·
Undergrad How do you compute the length of a helix given radius and pitch?
- zd1899
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Graduate How does the Levi-Civita contraction identity vanish when indices repeat?
- Rasalhague
- · Replies 18 ·
Graduate Can a Random Curve in R^n be C1 and Differentiable?
- Dragonfall
- · Replies 15 ·
High School What is the Best High School Geometry Book for Self-Teaching?
- burgert
- · Replies 2 ·
Graduate Small slope approximation: what can you say about curvature and higher derivatives?
- hanson
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Graduate Antisymmetrization leads to an identically vanishing tensor
- jason12345
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Graduate Problem on seperable banach spaces
- logarithmic
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Graduate How to follow a particle moving in a helical pathway with vectors and coordinates
- Maxwellkid
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Graduate Why is the union of topologies a subbase for their least upper bound?
- symbol0
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Graduate Completing M_n(R) under the operator norm
- nubmathie
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Graduate Challenging Problem (Equivalent Metrics)
- nubmathie
- · Replies 10 ·
Undergrad How to Find the Intersection Line Equation of Two Non-Parallel Planes?
- peeyush_ali
- · Replies 1 ·
Graduate What Is the Exponential Map for a Manifold?
- Tac-Tics
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Graduate Why are closed sets called open in a different topology?
- symbol0
- · Replies 8 ·
Graduate Does This Infinitesimal Mapping Transformation Look Correct?
- jason12345
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Graduate Normed and topological vector spaces
- logarithmic
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Undergrad Point inside a cube of irregular dimesnion
- parch
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Undergrad Mapping positions of a reflected ball in a rectangle
- DavidSnider
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Graduate Structure constants of a group antisymmetric?
- jason12345
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Graduate Is There a Connected Union of Open Balls in a Metric Space?
- e(ho0n3
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Graduate Cartesian coordinates vs. The rest of the world?
- ManDay
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Graduate Is Point M on the Circumscribed Circle of Square ABCD?
- veljko_c
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Graduate What are the consequences of weak and weak* convergence in functional analysis?
- muzialis
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Undergrad Find the point which lie in a 3d line.
- parch
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Undergrad Great Circle Question: How to Get All Points?
- hussainak
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Undergrad How is a tesseract formed and what does it show about the 4th dimension?
- Maxwellkid
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Undergrad 'Distance' between MANY points ?
- juliette sekx
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Graduate Elliptic Cylindrical Coordinates
- nassboy
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Graduate Representations of the Fundamental Group
- olliemath
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Graduate Extracting individual equations from tensor notation with permutation symbols
- junglebeast
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Graduate Do topological manifolds have Euclidean neighborhoods with full closure?
- Laur
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Graduate Prove that x^4+y^4=1 is a manifold
- andromeda2
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Graduate Seeking the Shortest Closed Curve in a Homology Class
- hyperttt
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Graduate Mathematical Definition of Tensor?
- LarryS
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Graduate What Patterns Emerge When Visualizing Infinity on Non-Flat Surfaces?
- exmachina
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Graduate Contraction distributive property in GA
- mnb96
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Undergrad Is it possible to construct a circle from line segments?
- flatmaster
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Undergrad How Do Tensors Function in Geometric Algebra?
- mnb96
- · Replies 7 ·
Graduate Prove 1+1=2 using trigonometric functions
- jontyjashan
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Undergrad How should the radius MP be drawn?
- Dafoe
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Graduate Trying to understand isotropic vectors.
- Spinnor
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Undergrad How do continuous transformations between shapes relate to topology?
- IwillBeGood
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Graduate What is the 'Push-Forward' Function f_{*}g?
- .....
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Graduate Deriving Lemniscate Locus Equation: Is It a Typo?
- ronaldor9
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Graduate Trisecting angles in an alternate topology
- Loren Booda
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Graduate Using Straight-Line Homotopies to Construct Free Homotopies
- littleHilbert
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Graduate Is Flatness a Self-Selected Outcome in a Maximally Symmetric Universe?
- physlad
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High School Does a zero-dimensional point rotate when a disc spins around its center?
- atomicgrenade
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Undergrad Where Can I Find Open Source Software for Drawing Geometrical Pictures?
- Kurret
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Graduate Coordinates in hyperbolic geometry?
- Coin
- · Replies 6 ·
Undergrad Geometry in spherical coordinate
- Asuralm
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Undergrad Good introductory texts on tensor analysis
- urbana
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Graduate Understanding Covariant Derivatives Along a Curve
- eok20
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Graduate Which fields of mathematics use differential forms most often?
- altcmdesc
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Graduate Position vector and tangent vector in Riemannian spaces
- mma
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Graduate Transformation law for Christoffel symbol of first kind
- Will_C
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Graduate Definition of arc length on manifolds without parametrization
- mma
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Undergrad What Are Some Recommended Textbooks on Fractals and Chaos?
- Luris
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Graduate When is the Inverse of a Continuous Bijection Continuous?
- jostpuur
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Undergrad What are differential forms and the wedge product intuitively?
- SomeGuy
- · Replies 19 ·
Graduate Can a Helicoid Surface be Extended to All of S^3 in a Natural Way?
- Spinnor
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Graduate Is the Minkowski diagram rotation angle real or imaginary?
- gene1721
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Graduate Umbilic points of an ellipsoid and lines of curvature
- halvizo1031
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Graduate Evaluating Surface Integral with Stokes Theorem
- trelek2
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Graduate Using divergence theorem for F=(xy²,2y²,xy³) over a cylinder
- trelek2
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Graduate What is the volume of a spherical segment using Cavalieri's Principle?
- navybuttons
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Graduate Can Every Derivation Be Expressed as a Directional Derivative?
- martin_blckrs
- · Replies 11 ·
Graduate Characterization of paracompactness
- quasar987
- · Replies 6 ·
Graduate Why can the affinity connection be arbituarily chosen?
- Lucien1011
- · Replies 2 ·