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 Metric coressponding to a set of curves?
- o_parhizkari
- · Replies 7 ·
Graduate What are the prerequisites for understanding The Ricci Flow?
- Jimmy84
- · Replies 5 ·
Undergrad Is Cos(x) a Closed Function in R?
- emptyboat
- · Replies 2 ·
Undergrad Differential Geometry: Learn Its Importance for Physics
- sam_qau
- · Replies 4 ·
Graduate Phase flow is the one-parameter group of transformations
- Nusc
- · Replies 6 ·
Graduate Brouwer's Fixed Point Theorem for Arbitrary Intervals
- dabeth
- · Replies 1 ·
Graduate Homeomorphism (defining a chart)
- jem05
- · Replies 10 ·
Undergrad Coordinate on sphere(vector calculus)
- TravelGirl
- · Replies 2 ·
Undergrad Why is x > 0 not an open interval?
- maverick280857
- · Replies 10 ·
Graduate How Did Dr. Grigoriy Perelman Solve the Poincaré Conjecture?
- JcX
- · Replies 8 ·
Graduate Understanding Vector Fields on the Sphere S^2: A Student's Guide
- jem05
- · Replies 2 ·
Graduate What is the Stone-Cech compactification of a product of Boolean algebras?
- ShortFive
- · Replies 1 ·
Graduate What Is a Nontrivial Ultranet and Why Is the Axiom of Choice Needed?
- huyichen
- · Replies 1 ·
Graduate Does a faithful action of SO(3) imply a metric on R^3?
- mma
- · Replies 5 ·
Graduate How many different topologies can X have?
- Damidami
- · Replies 4 ·
Undergrad What are the prerequisites for topology?
- JayC
- · Replies 9 ·
Graduate Functional analysis and diff. forms
- Tomsk
- · Replies 4 ·
Graduate Gradient and differential notation
- Rasalhague
- · Replies 16 ·
Undergrad Define Circle Knowing Two Points and ARC LENGTH Only.
- Ryank
- · Replies 4 ·
Graduate Linear Maps and Fixed Points in RPn
- mathshelp
- · Replies 3 ·
Graduate Is the Fundamental Group of X1 Trivial or Isomorphic to Z?
- Mikemaths
- · Replies 14 ·
Graduate Why Does the Contraction Term Vanish in the Divergence Theorem on Manifolds?
- mathmeat
- · Replies 2 ·
Undergrad What is the Name of My Star Polyhedron?
- lugita15
- · Replies 2 ·
Undergrad Filling different shaped volumes
- Hoku
- · Replies 8 ·
Graduate Verifying Lie Bracket for Vector Fields on U
- i_emanuel
- · Replies 6 ·
Graduate Can a sphere have flat geometry?
- Hoku
- · Replies 5 ·
Graduate Proving Lines Contain Exactly n Points in an Affine Plane of Order n
- yusukered07
- · Replies 1 ·
Undergrad Finding angles in a four sided room
- Hemmer
- · Replies 4 ·
Graduate Why Do Subscripts and Superscripts Vary in Einstein Summation Notation?
- iontail
- · Replies 3 ·
Graduate Does trivial cotangent bundle implies trivial tangent bundle?
- quasar987
- · Replies 5 ·
Graduate Do I need ODE and PDE for differential topology?
- 5kold
- · Replies 2 ·
Graduate Combinatorial Problem: Does Sum = Binomial Coefficient?
- mathstime
- · Replies 6 ·
Graduate F must be a Diffeomorphism: Why & What if?
- fk378
- · Replies 5 ·
Graduate Interpretation of the covariant derivative
- RedX
- · Replies 5 ·
Undergrad Number of monomials of degree d in finite field F[x]
- mathstime
- · Replies 11 ·
Graduate Proving Stirling's Formula - Get Help Here
- mathstime
- · Replies 2 ·
Undergrad Reflection of a 2-d shape about some line
- madness
- · Replies 2 ·
Graduate Why do you need a convex/concave function to do a Legendre transform?
- Prologue
- · Replies 6 ·
Undergrad Is a Bounded Set Always Finite or Can It Go to Infinity?
- BelaTalbot
- · Replies 5 ·
Graduate Hereditarily normal, mutually separated subsets
- mathsss2
- · Replies 3 ·
Graduate Continuous functions in metric spaces
- boneill3
- · Replies 1 ·
Graduate Trying to understand Levi-Civita Symbol and notation
- Werbel22
- · Replies 3 ·
Graduate Proving Closed Sets using the Sequential Criterion
- Bleys
- · Replies 7 ·
Graduate Why is the boundary of the rationals (Q) equal to R?
- filter54321
- · Replies 3 ·
Graduate Poincare Conjecture: Understanding & Appreciating the Proof
- Mosis
- · Replies 1 ·
Graduate Deformation Retract: X to Y | Proving Homotopic Equivalence
- Mikemaths
- · Replies 9 ·
Graduate Different metrics same topology?
- 5kold
- · Replies 1 ·
Graduate Can Basis Ambiguity be Preserved for Entangled Particles?
- Talisman
- · Replies 8 ·
Graduate How Do You Determine the Fundamental Groups of Specific Matrix Spaces?
- curtdbz
- · Replies 3 ·
Undergrad The VERY, VERY general equation of an ellipsoid - Who knows it?
- Umbra Lupis
- · Replies 6 ·
Graduate Explaining Connected Component: Real Numbers, Rationals, & More
- rainwyz0706
- · Replies 3 ·
Graduate Is the Maximum Metric Valid for Product Topology on Combined Metric Spaces?
- ideas
- · Replies 1 ·
Graduate Equivalence relations and equivalence classes
- Rezaderex
- · Replies 4 ·
Graduate Nowhere dense subset of a metric space
- de_brook
- · Replies 3 ·
Graduate Tensor derivative in continuum mechanics
- enricfemi
- · Replies 2 ·
Graduate Can Non-Riemannian Geometry Exist Without a Metric?
- zetafunction
- · Replies 2 ·
Graduate Is There a Difference Between a Vector Field and a Vector Function?
- uiulic
- · Replies 17 ·
Graduate Identification Space: Is A Cone?
- Mikemaths
- · Replies 8 ·
Graduate How Can a Vertex Represent a 0-Cell and an Edge Represent a 1-Cell in Topology?
- s_jubeh
- · Replies 2 ·
Graduate What Sets Exhibit the Wada Property in R2, R3, and R?
- tt2348
- · Replies 7 ·
Graduate Geometric interpretation of a given Alexandrov compactification
- prce
- · Replies 3 ·
Graduate Defining Inside and Outside of Loops on a Closed Surface
- RedX
- · Replies 12 ·
Graduate A differential geometry question.
- binglee
- · Replies 1 ·
Graduate Is the Geodesic Always the Shortest Path Between Two Points?
- enricfemi
- · Replies 5 ·
Graduate Tensor of Type (k,l): John Lee, Wald's GR
- Fredrik
- · Replies 1 ·
Graduate Tensor Applications: Find Unusual Ideas for Research
- iamalexalright
- · Replies 1 ·
Graduate Determining 4-vector character of a 4-tuple
- jason12345
- · Replies 1 ·
Graduate Geometric realization of topology
- s_jubeh
- · Replies 7 ·
Graduate Intersection of simply connected
- Laurenette
- · Replies 23 ·
Graduate Expression with levi-civita symbol
- mnb96
- · Replies 13 ·
Graduate Distinction between this geometric example of a Diffeomorphism & a Homeomorphism
- damnedcat
- · Replies 1 ·
Graduate How to Write (a_1+...+a_n)(b_1+...+b_n) in Einstein Notation?
- mnb96
- · Replies 6 ·
Graduate P-adic metric Strong triangle inequality
- beetle2
- · Replies 1 ·
Graduate R^2 - A, with A being a countable set, path-connected?
- curtdbz
- · Replies 5 ·
Graduate Simple Topology problem (Munkres)
- jRSC
- · Replies 3 ·
Graduate Geodesic Tangent Vector: Affine Parameter Wald (p.41)
- Fredrik
- · Replies 15 ·
Graduate How to represent a parametric curve?
- mnb96
- · Replies 8 ·
Graduate Integrating Metric Tensors: Conditions for Obtaining a Global Metric Function
- Ben Niehoff
- · Replies 1 ·
Graduate Can a Lie Derivative be Taken in the Direction of a Scalar Function?
- redrzewski
- · Replies 1 ·
Graduate How is the Length of a Parallel Curve Calculated in Differential Geometry?
- hypermonkey2
- · Replies 3 ·
Graduate Geodesic implies the well-known identity 0=0
- Fredrik
- · Replies 2 ·
Graduate Linking of Curves: C1, C2 in R^3, D1, D2, Finite Loops
- wofsy
- · Replies 6 ·
Graduate Gauss Mapping of Surfaces in R^n: Intrinsic or Not?
- wofsy
- · Replies 1 ·
Graduate Understanding Scalar Curvature: Key Differences and Properties
- snoopies622
- · Replies 11 ·
Graduate Relation between all 10 distance of 5 points
- Gerenuk
- · Replies 1 ·
Graduate Parametrization vs. coordinate system
- lmedin02
- · Replies 3 ·
Graduate Showing that some curve is a circle
- Werg22
- · Replies 1 ·
Graduate Polar coordinates: derivation from rotation group
- mnb96
- · Replies 1 ·
Graduate Christoffel simbol and derivative from him
- player1_1_1
- · Replies 1 ·
Graduate Differential geometry - strange formula
- player1_1_1
- · Replies 1 ·
Graduate How Can You Create Your Own Mathematical Space and Explore Embedding Techniques?
- Winzer
- · Replies 2 ·
Graduate Linked Homotopy Theory: Preserving Linking Number Zero
- wofsy
- · Replies 6 ·
Graduate Are S^1 x S^2 & Familiar Topological Spaces Related?
- owlpride
- · Replies 3 ·
Undergrad How can the euclidean distance formula be proven for a set of coordinates?
- Gerenuk
- · Replies 25 ·
Graduate Curvature tensor of sphere radius R
- player1_1_1
- · Replies 3 ·
Graduate Finding Fundamental Group: Step-by-Step Guide
- curtdbz
- · Replies 1 ·
Graduate Question on page 7 Flander's book on differential forms
- Goldbeetle
- · Replies 7 ·
Graduate Topology Math GRE Prep | Best Book Intro Guide
- Jademonkey
- · Replies 6 ·
Graduate A differential geometry question
- binglee
- · Replies 4 ·
Undergrad Checking whether a curve is a parabola or not
- adelz
- · Replies 1 ·