Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Threads
Graduate Mobius band trivializing neighborhoods around the point (1,0)
- WWGD
- · Replies 5 ·
Graduate Metric coressponding to a set of curves?
- o_parhizkari
- · Replies 7 ·
Graduate Prerequisites for studying the Ricci flow beyond Riemannian geometry
- 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 Basis-independent homeomorphism from n-dim vector space to R^n
- 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 Vector field on S² vanishing at one point via stereographic projection
- jem05
- · Replies 2 ·
Graduate What is the Stone-Cech compactification of a product of Boolean algebras?
- ShortFive
- · Replies 1 ·
Graduate Nontrivial ultranets and the axiom of choice in general topology
- 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 Why must F be a diffeomorphism for F-related vector fields?
- 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 Asymptotic expansion of binomial coefficient for field size
- mathstime
- · Replies 2 ·
Undergrad Does reflection in 2D equal 180° rotation through 3D?
- 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 How to understand the Poincaré conjecture proof
- Mosis
- · Replies 1 ·
Graduate Showing X is a deformation retract of Y with quotient space
- 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 What are the connected components of R² minus the diagonal?
- 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 If a 4-tuple's scalar product with any 4-vector is Lorentz scalar, is it a 4-vector?
- 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 Rubber cube diffeomorphism vs doughnut homeomorphism analogy
- damnedcat
- · Replies 1 ·
Graduate Writing (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 Reparametrizing geodesics from the general to affine parameter form
- 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 Can intersection loops have nonzero linking with C1 or C2?
- wofsy
- · Replies 6 ·
Graduate Gauss Mapping of Surfaces in R^n: Intrinsic or Not?
- wofsy
- · Replies 1 ·
Graduate Why is scalar curvature defined as g^ab R_ab rather than R^ab R_ab?
- 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 Learning to construct custom spaces and embed equations in them
- Winzer
- · Replies 2 ·
Graduate Linked Homotopy Theory: Preserving Linking Number Zero
- wofsy
- · Replies 6 ·
Graduate Is S^1 × S^2 homeomorphic to a familiar topological space?
- 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 groups of four topological spaces
- curtdbz
- · Replies 1 ·
Graduate Question on page 7 Flander's book on differential forms
- Goldbeetle
- · Replies 7 ·
Graduate Best introductory topology book for GRE math subject test
- Jademonkey
- · Replies 6 ·
Graduate A differential geometry question
- binglee
- · Replies 4 ·