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 Covariant derivative in polar coordinates
- aPhilosopher
- · Replies 3 ·
Graduate Semigeodesic parameterization I am a little confused
- ^_^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 Can someone help me solve these problems
- 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
- · Replies 1 ·
Graduate What Does 'To Lowest Order' Mean in the Derivation of Riemann Curvature Tensor?
- FaithSeeker
- · Replies 2 ·
Graduate Product Space: Example of Unrestricted Open Set Not Open in Product Topology
- symbol0
- · Replies 4 ·
Graduate Convergent Filter Base and Continuous Function
- jetplan
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Graduate Why is compactness important in topology?
- Tac-Tics
- · Replies 14 ·
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
- · Replies 8 ·
Graduate Can a Wild Metric on a 2D Disc Prevent Isometric Embedding in R^3?
- wofsy
- · Replies 2 ·
Graduate Why is the subspace topology on RP^n difficult to grasp?
- homomorphism
- · Replies 4 ·
Graduate Another manifold definition deficiency?
- zankaon
- · Replies 5 ·
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
- · Replies 3 ·
Graduate Lie Theory Question: Eigenvalues of Adjoint Action of H on \mathfrak{g}
- QuarkHead
- · Replies 1 ·
Graduate Calculating surface normal vector
- andykol
- · Replies 5 ·
Graduate Prove that the bth projection map is continuous and open.
- ForMyThunder
- · Replies 3 ·
Graduate Is the direct sum of two circles a covering set for the circle?
- Tac-Tics
- · Replies 2 ·
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
- · Replies 14 ·
Graduate Is a mixed second rank tensor reducible?
- jason12345
- · Replies 6 ·
Undergrad Compute Length of Helix Given Radius & Pitch
- zd1899
- · Replies 1 ·
Graduate Vector Analysis: Introduction to Tensor Notation and Index Conventions
- 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 Exploring the Small Slope Approximation in Curvature and Higher Derivatives
- hanson
- · Replies 2 ·
Graduate Antisymmetrization leads to an identically vanishing tensor
- jason12345
- · Replies 4 ·
Graduate Problem on seperable banach spaces
- logarithmic
- · Replies 2 ·
Graduate Helical Pathway Movement Using Vectors, Spherical & Cylindrical Coordinates
- Maxwellkid
- · Replies 2 ·
Graduate Least Upper Bound: Definition & Subbase
- symbol0
- · Replies 1 ·
Graduate Complete Norm on M_n(R): Questions & Hints
- nubmathie
- · Replies 3 ·
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
- · Replies 3 ·
Graduate Clarifying Open Sets in Topological Spaces - Help for Confusion
- symbol0
- · Replies 8 ·
Graduate Does This Infinitesimal Mapping Transformation Look Correct?
- jason12345
- · Replies 1 ·
Graduate Normed and topological vector spaces
- logarithmic
- · Replies 2 ·
Undergrad Point inside a cube of irregular dimesnion
- parch
- · Replies 2 ·
Undergrad Solving Billiard Problem - Get Help Here
- DavidSnider
- · Replies 1 ·
Graduate Structure constants of a group antisymmetric?
- jason12345
- · Replies 2 ·
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
- · Replies 4 ·
Graduate Is Point M on the Circumscribed Circle of Square ABCD?
- veljko_c
- · Replies 7 ·
Graduate What are the consequences of weak and weak* convergence in functional analysis?
- muzialis
- · Replies 6 ·
Undergrad Find the point which lie in a 3d line.
- parch
- · Replies 6 ·
Undergrad Great Circle Question: How to Get All Points?
- hussainak
- · Replies 5 ·
Undergrad How is the Tesseract a gateway to understanding 4D space and time?
- Maxwellkid
- · Replies 1 ·
Undergrad 'Distance' between MANY points ?
- juliette sekx
- · Replies 13 ·
Graduate Elliptic Cylindrical Coordinates
- nassboy
- · Replies 3 ·
Graduate Representations of the Fundamental Group
- olliemath
- · Replies 1 ·
Graduate Unraveling Tensor Notation: Extracting Equations
- junglebeast
- · Replies 3 ·
Graduate Question about topological manifolds
- Laur
- · Replies 12 ·
Graduate Prove that x^4+y^4=1 is a manifold
- andromeda2
- · Replies 8 ·
Graduate Seeking the Shortest Closed Curve in a Homology Class
- hyperttt
- · Replies 5 ·
Graduate Mathematical Definition of Tensor?
- LarryS
- · Replies 7 ·
Graduate What Patterns Emerge When Visualizing Infinity on Non-Flat Surfaces?
- exmachina
- · Replies 8 ·
Graduate Contraction distributive property in GA
- mnb96
- · Replies 1 ·
Undergrad Is it possible to construct a circle from line segments?
- flatmaster
- · Replies 4 ·
Undergrad How Do Tensors Function in Geometric Algebra?
- mnb96
- · Replies 7 ·
Graduate Prove 1+1=2 using trigonometric functions
- jontyjashan
- · Replies 14 ·
Undergrad How should the radius MP be drawn?
- Dafoe
- · Replies 2 ·
Graduate Trying to understand isotropic vectors.
- Spinnor
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Undergrad Transformation of one shape into another
- IwillBeGood
- · Replies 4 ·
Graduate What is the 'Push-Forward' Function f_{*}g?
- .....
- · Replies 5 ·
Graduate Deriving Lemniscate Locus Equation: Is It a Typo?
- ronaldor9
- · Replies 2 ·
Graduate Trisecting angles in an alternate topology
- Loren Booda
- · Replies 2 ·
Graduate Using Straight-Line Homotopies to Construct Free Homotopies
- littleHilbert
- · Replies 2 ·
Graduate Is Flatness a Self-Selected Outcome in a Maximally Symmetric Universe?
- physlad
- · Replies 6 ·
High School Does a zero-dimensional point rotate when a disc spins around its center?
- atomicgrenade
- · Replies 3 ·
Undergrad Where Can I Find Open Source Software for Drawing Geometrical Pictures?
- Kurret
- · Replies 3 ·
Graduate Coordinates in hyperbolic geometry?
- Coin
- · Replies 6 ·
Undergrad Geometry in spherical coordinate
- Asuralm
- · Replies 2 ·
Undergrad Introduction to Tensor Analysis: Texts for Beginners
- urbana
- · Replies 4 ·
Graduate Understanding Covariant Derivatives Along a Curve
- eok20
- · Replies 1 ·
Graduate Differential Forms in Mathematics: Uses & Applications
- altcmdesc
- · Replies 1 ·
Graduate Position vector and tangent vector in Riemannian spaces
- mma
- · Replies 13 ·
Graduate Transformation law for Christoffel symbol of first kind
- Will_C
- · Replies 4 ·
Graduate Definition of arc length on manifolds without parametrization
- mma
- · Replies 36 ·
Undergrad What Are Some Recommended Textbooks on Fractals and Chaos?
- Luris
- · Replies 1 ·
Graduate When is the Inverse of a Continuous Bijection Continuous?
- jostpuur
- · Replies 10 ·
Undergrad Differential Forms: Understand Intuitively for Multivariable Calc
- SomeGuy
- · Replies 19 ·
Graduate Can a Helicoid Surface be Extended to All of S^3 in a Natural Way?
- Spinnor
- · Replies 1 ·
Graduate Is the rotation angle in Minkowski's diagram real or imaginary?
- gene1721
- · Replies 6 ·
Graduate Finding Umbilic Points of an Ellipsoid & Lines of Curvature
- halvizo1031
- · Replies 2 ·
Graduate Evaluating Surface Integral with Stokes Theorem
- trelek2
- · Replies 1 ·
Graduate Compute Surface Integral: Divergence Theorem & F=(xy^2,2y^2,xy^3)
- trelek2
- · Replies 1 ·
Graduate What is the volume of a spherical segment using Cavalieri's Principle?
- navybuttons
- · Replies 2 ·
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 ·
Graduate Degree of multiplication map of a topological group
- Jamma
- · Replies 8 ·