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 Algebraic Geometry (2nd question)
- esisk
- · Replies 1 ·
Graduate Trying to get my head around tangent bundles
- mikeph
- · Replies 2 ·
Graduate Properties of a volume in 3D Euclidean space
- mikeph
- · Replies 3 ·
High School Solid Geometry: Why it's No Longer Taught & Resources to Learn It
- khemix
- · Replies 2 ·
Graduate Is There a Unique Torsion-Free Affine Connection on a Lie Group?
- zhangzujin
- · Replies 3 ·
Undergrad Geometry Area Proof (quadrilateral)
- albertoid
- · Replies 4 ·
Graduate Evaluating T(A,A) and Components of T(A,__) in Minkowski Spacetime
- Rasalhague
- · Replies 2 ·
Graduate Differentiable manifold not riemannian
- redrzewski
- · Replies 10 ·
Graduate Question whether 2 spaces are diffeomorphic
- wofsy
- · Replies 5 ·
Graduate Computating the components of a tensor
- Rasalhague
- · Replies 2 ·
Graduate Alexander Duality & Cup Product: Commuting?
- wofsy
- · Replies 3 ·
High School Is a Cone Considered a Solid or a Surface?
- Rasalhague
- · Replies 2 ·
Graduate Calculating Moment Maps: Worked Examples Needed
- dioib
- · Replies 1 ·
Graduate Proving Compatibility of Charts in a Union of Atlases
- jojo12345
- · Replies 1 ·
Graduate Fundamental Group of the projective plane after we remove n points?
- Geometrick
- · Replies 2 ·
Undergrad Parallax, angle to observer etc.
- MathYew
- · Replies 5 ·
Undergrad Compass and straightedge angle construction
- trini
- · Replies 2 ·
Graduate Differential geometry and hamiltonian dynamics
- luisgml_2000
- · Replies 3 ·
Graduate Euclidian topology ang cofinite topology
- lindita
- · Replies 5 ·
Graduate Visualizing Immersions vs. Submersions
- dreamtheater
- · Replies 2 ·
High School Geometry Proof Help: I Need Assistance Now!
- jellybean93
- · Replies 3 ·
Graduate How to compute the metric without an embedding
- gorkiana
- · Replies 17 ·
Graduate Relating inverse metric to densitized triads
- jziprick
- · Replies 2 ·
Graduate Lie derivative of vector field = commutator
- Fredrik
- · Replies 20 ·
Graduate SO(n) actions on vector bundles
- wofsy
- · Replies 3 ·
Graduate Can someone explain this proof to me?
- WiFO215
- · Replies 4 ·
Undergrad Rotating frames of Motion in Vector Notation
- BrIDo
- · Replies 1 ·
Graduate Tensor components of a Hodge dual
- guhan
- · Replies 4 ·
Graduate Comparing Tensor Double Dot Scalar Product Definitions
- dakg
- · Replies 6 ·
Graduate How to compute the cohomology of the Klein bottle
- TFT
- · Replies 8 ·
Undergrad How to find 3D point on the 3D line with given distance and from given 3D point
- gbalajimecse
- · Replies 1 ·
Graduate Proving that the cartesian metric is rotation invariant
- espen180
- · Replies 12 ·
Graduate Local Invariants: Definition, Examples & Curvature
- quasar987
- · Replies 7 ·
Graduate How to prove there is no Lebesgue number for open cover (1/n,1)?
- ramasamyg
- · Replies 1 ·
Graduate Physics Major's Questions on Geodesics
- ArielGenesis
- · Replies 3 ·
Graduate Divergence Theorem: Show 0 Integral on Closed Surface
- sszabo
- · Replies 9 ·
Graduate Nonsqueezing theorem - a proof with the action
- mma
- · Replies 1 ·
Graduate Construct 2-Fold Cover of M Using H^1(M;Z2)
- wofsy
- · Replies 32 ·
Graduate Two topological spaces are homeomorphic
- symbol0
- · Replies 10 ·
Undergrad What Is the Poincaré Disc and How Do Its Edges Represent Infinity?
- htetaung
- · Replies 8 ·
Undergrad Triangle Square: How Does the Largest Equilateral Triangle Fit Inside a Square?
- Loren Booda
- · Replies 1 ·
Graduate Curvature and locally flat spaces
- espen180
- · Replies 11 ·
Graduate Curvilinear coordinates question
- mnb96
- · Replies 3 ·
Graduate Verifying Manifold from RP2 to R4 Embedding
- sin123
- · Replies 1 ·
Graduate Is DxD -> R by e(z,w)=|(z-w)/(1-w'z)| a Metric Space?
- Matthollyw00d
- · Replies 1 ·
Undergrad Dot product of vector function?
- lewis198
- · Replies 2 ·
Graduate Is There a Smooth Map from S^n to the Equator E of S^n for n ≥ 2?
- TFT
- · Replies 2 ·
Undergrad Compute Penalty Function for Distance from Two Boundaries
- JasonBourne
- · Replies 7 ·
Graduate Integral curves and one-parameter groups of diffeomorphisms
- Fredrik
- · Replies 2 ·
Graduate Understand Isotropic Tensors for Physics
- Michael_McGovern
- · Replies 3 ·
Graduate Computing tangent spaces of implicitly defined manifolds
- sin123
- · Replies 1 ·
Graduate Lie Algebra Structure of 3-Sphere: Left Invariant Vector Fields
- wofsy
- · Replies 3 ·
Graduate 16 different spherical coordinate systems
- Twinbee
- · Replies 49 ·
Graduate Need the parametric equation of a circle perpendicular to a vector.
- okkvlt
- · Replies 4 ·
Graduate Is There a Limit to the Possible Metrics on a Riemannian Manifold?
- paweld
- · Replies 2 ·
Graduate Scaling and Translation Invariance
- mnb96
- · Replies 6 ·
Graduate How can we represent tensors in conformal model?
- espen180
- · Replies 27 ·
Graduate Geometrical meaning of spectrum in algebraic geometry
- navigator
- · Replies 7 ·
Graduate Reading Analysis on Manifolds by Munkres
- Matthollyw00d
- · Replies 14 ·
Graduate What are the names of surfaces that are tangent to a vector field?
- BobbyBear
- · Replies 5 ·
Graduate The kelin bottle and the projective plane
- wofsy
- · Replies 20 ·
Graduate Finite Metric Space Imbedding in Manifolds
- Dragonfall
- · Replies 4 ·
Graduate Why is |dt| Equal to dφ in the Frenet-Serret Formula?
- TopCat
- · Replies 3 ·
Graduate If a set A is both open and closed then it is R(set of real numbers)
- seema283k
- · Replies 1 ·
Graduate Defining the Cup Product in Cubular Homology Theory
- wofsy
- · Replies 10 ·
Graduate Comparing C^2 to R^4: Complex Lines vs Real Planes
- bsaucer
- · Replies 5 ·
Graduate Compactness of V in Minkowski Space: A Question
- parton
- · Replies 6 ·
Graduate Finding middle group in short exact sequence
- wodhas
- · Replies 5 ·
Graduate Weird singularities/cylindrical & spherical coordinates
- AxiomOfChoice
- · Replies 1 ·
Graduate Orthonormal Frame: is $\nabla_{e_1}e_j$ 0 if i≠j?
- forumfann
- · Replies 3 ·
High School Basic method of finding geographic centre of a small country
- martine
- · Replies 1 ·
Undergrad What is the surface area of a Mobius strip made from a strip of paper?
- kureta
- · Replies 20 ·
Graduate Finding Dual Space Coordinates for Projective Geometry Points
- MathematicalPhysicist
- · Replies 1 ·
Undergrad Helix - Variable Diameter with constant Pitch
- wacman
- · Replies 4 ·
Graduate 4-Manifolds and Kirby Calculus by Gompf.
- MathematicalPhysicist
- · Replies 8 ·
Graduate Maximal Exterior product of Tangent space
- nughret
- · Replies 2 ·
Graduate Are there operators that change the curvature of manifolds?
- BWV
- · Replies 8 ·
Graduate Can you explain the geometric interpretation of the Levi-Civita connection?
- forumfann
- · Replies 2 ·
Graduate Can 5-Dimensional Objects Exist Without 4-Dimensional Surfaces?
- Pjpic
- · Replies 3 ·
Graduate Why Does dS Space Have a (4+1) Signature?
- Jim
- · Replies 1 ·
Graduate For professionals - differential geometry
- TheDestroyer
- · Replies 20 ·
Undergrad How to Calculate the Circumference of a Specific Point on a Ball
- V8Maverick
- · Replies 12 ·
Undergrad Output a geometry rather than a number
- tickle_monste
- · Replies 1 ·
Graduate Integration/Differentiation on abstract spaces
- WWGD
- · Replies 2 ·
Graduate Misunderstanding of isomorphism and automorphism
- Sumanta
- · Replies 2 ·
Graduate Curl of - \frac{1}{\rho} \vec \nabla p
- John Creighto
- · Replies 1 ·
Graduate Differential Topology: Essential Concepts Explained
- psholtz
- · Replies 4 ·
Graduate Understanding Index Notation: Multiplying Vectors & Tensors
- womfalcs3
- · Replies 3 ·
Graduate Equation of a Curve in R3 with Constant Inclination: Need Help!
- ziggy
- · Replies 1 ·
Graduate Geodesic deviation & Jacobi Equation
- serali
- · Replies 1 ·
Graduate Edwin Spanier Algebraic Topology difficulty?
- arachnotron
- · Replies 1 ·
Graduate What Are Standard Ways to Define Topology on Function Spaces?
- Tac-Tics
- · Replies 2 ·
Graduate Deciding Between DG & PDE Graduate Math Classes
- mordechai9
- · Replies 14 ·
Graduate Convergence in a Discrete Metric Space - What Does It Mean?
- vandanak
- · Replies 1 ·
Graduate Real Line Intervals as Closed, Bounded Non-Compact Spaces
- symbol0
- · Replies 5 ·
Graduate Is the Collection of Rational Balls a Basis for the Euclidean Topology on R^n?
- littleHilbert
- · Replies 2 ·
Graduate How Can You Determine the Radius of Curvature Without Knowing R?
- skippy1729
- · Replies 1 ·
Graduate Geometric algebra vs. differential forms
- element4
- · Replies 2 ·
Graduate Let omega=x dx+y dy+z dz be a 1-form
- carbis
- · Replies 4 ·
Graduate Frobenius' Theorem: Characterization & Proof Difficulty
- toogood
- · Replies 1 ·