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 and vector functions
- tom.young84
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Graduate How do Clifford algebras, spinors and Hopf fibration relate to twistors?
- mnb96
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Graduate Differing definitions of an inner product
- Kreizhn
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Graduate Tychonoff's theorem and convergent subsequence
- Monocles
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Graduate Is Jurdjevic's Definition of Differential Forms an Alternative Approach?
- Kreizhn
- · Replies 3 ·
Graduate Interpreting Intersection Form in H_1(K)
- Bacle
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Graduate Vector field as smooth embedding
- huyichen
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Graduate Hausdorff dimension of the Cantor Set
- alpar_r
- · Replies 1 ·
Graduate Why Do We Minimize the Squared Length in Surface Distance Calculations?
- Noxide
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Graduate Finding point on a line with perpendicular to another skew line in 3D
- WLamers
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Graduate Finding the Metric in Stereographic Projection
- mnb96
- · Replies 8 ·
Graduate What Is the Geometric Difference in Intersection Forms Q(a,b) vs Q(b,a)?
- WWGD
- · Replies 0 ·
Graduate Zero curvature => straight line proof
- Shaybay92
- · Replies 1 ·
Graduate Nonvanishing section for direct sum of Mobius band
- huyichen
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Graduate How to show that a transverse intersection is clean, but not conversely?
- huyichen
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Graduate Are Metric Space Infimums Equal for Non-Empty Subsets?
- choccookies
- · Replies 4 ·
Undergrad Working with different coordinate systems
- koab1mjr
- · Replies 1 ·
Graduate Example of Codimension-1 Manifolds that are not Isotopic.?
- Bacle
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Graduate What is the fundamental group of X?
- quasar987
- · Replies 11 ·
Graduate The Codimension of a singularity
- Kreizhn
- · Replies 4 ·
Graduate About the coherent topology wiki page
- quasar987
- · Replies 1 ·
Graduate Is the One-Form d \theta Well-Defined at the North and South Pole on a 2-Sphere?
- rbayadi
- · Replies 5 ·
Graduate What does it mean for a change of variables to be UNITARY?
- AxiomOfChoice
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Graduate Is the exponential map of the additive Lie group R³ linear?
- enricfemi
- · Replies 4 ·
Graduate Can Odd Degree Maps from S^3 to RP^3 Be Constructed Smoothly?
- owlpride
- · Replies 20 ·
Graduate Is the Closed Unit Square Homeomorphic to the Closed Unit Disc?
- metder
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Graduate What is the surface parametrization for rotating y=Cosh(x) about the x-axis?
- chaotixmonjuish
- · Replies 2 ·
Graduate Integration in Sean Carroll's parallel propagator derivation
- Rasalhague
- · Replies 2 ·
Graduate Finsler Geometry: What is the Quadratic Restriction?
- math6
- · Replies 2 ·
Graduate Can we define a metric on a submanifold using the pullback of the ambient metric?
- math6
- · Replies 2 ·
Graduate What is the meaning of constant on each others fibres in differential geometry?
- Kreizhn
- · Replies 9 ·
Graduate If I want to learn about tensor mathematics - where do I need to start
- mtc1973
- · Replies 3 ·
Graduate Point Set Topology: Non-Trivial Facts Beyond Uryshon's Lemma
- facenian
- · Replies 5 ·
Graduate Can We Define the Tangent Bundle of a Vector Space V?
- math6
- · Replies 2 ·
Graduate Definition of a sub-elliptic differential operator
- math6
- · Replies 2 ·
Graduate How Accurate Is the Spherical Law of Cosines for Calculating Distances?
- moonman239
- · Replies 1 ·
Graduate Is every one-dimensional manifold orientable?
- racoonlly
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Graduate Covariant derivate same as normal derivative?
- vitaniarain
- · Replies 3 ·
Graduate How to show 2-tori is diffeomorphic to S^3
- robforsub
- · Replies 4 ·
Graduate Trouble with Algebraic Geometry in General
- Newtime
- · Replies 9 ·
Undergrad How does a matrix indicate a point?
- mynameinc
- · Replies 6 ·
Graduate Covariant derivative of the metric
- vitaniarain
- · Replies 3 ·
Graduate Proving F is an Isometry for C^1 Functions in Elementary Geometry
- MathematicalPhysicist
- · Replies 5 ·
Graduate Orientation preserving reparameterization
- chaotixmonjuish
- · Replies 2 ·
Graduate Let M be a manifold and g a metric over M
- math6
- · Replies 5 ·
Graduate What is the Unknown Theorem Used in the Proof of Theorem 4.5?
- Noxide
- · Replies 5 ·
Graduate Combining 3D Angles: A Quaternions Solution?
- Twinbee
- · Replies 7 ·
Undergrad Is There a Map Projection Where Distances Remain Constant at All Latitudes?
- DaveC426913
- · Replies 2 ·
Graduate How Does Compactness Affect Function Behavior in Metric Spaces?
- wayneckm
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Undergrad Object and a 3d direction vector
- badescuga
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Undergrad What are the Functions of Riemann Invariants?
- lavster
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Graduate Converting between geodetic and cartesian coordinates on an ellipsoid
- G4CKT
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Graduate Can tensor densities be defined without linearity?
- Rasalhague
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Graduate Is this identity with Stokes' theorem and vector contraction correct?
- paweld
- · Replies 8 ·
Graduate 4d Cartesian to Polar Transform
- chasehusky
- · Replies 1 ·
Graduate What is d in the covariant derivative formula?
- TromboneNerd
- · Replies 8 ·
Graduate 3D object inverted w.r.t. a sphere
- neelakash
- · Replies 1 ·
Undergrad Finding normal vector on circles
- _Seven_
- · Replies 2 ·
Graduate Topology and Euler Classes of Oriented 2-Plane Bundles in R^4
- lavinia
- · Replies 13 ·
Undergrad How do I calculate straight line distance on a sphere?
- G4CKT
- · Replies 6 ·
Graduate How Can I Determine Sphere Orientation During Rotation?
- _Seven_
- · Replies 2 ·
Graduate Simple identity for antisymmetric tensor
- paweld
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Graduate How to Prove the Cartan Tensor in SM?
- math6
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Graduate Can a connected space have a countable disjoint cover of closed subsets?
- disregardthat
- · Replies 15 ·
Graduate Is f' continuous when removing elements from X and Y?
- radou
- · Replies 22 ·
Graduate Intersection of complex sphere and cone
- huyichen
- · Replies 1 ·
Graduate Number of Nondegenerate Zeros of Vector Field Bounded
- huyichen
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Graduate Can a Center of a Sphere be conceived at infinity
- neelakash
- · Replies 6 ·
Undergrad Identifying tri-conic and bi-conic nosecone shapes
- sorter
- · Replies 1 ·
Graduate Proving a product of compact spaces is compact
- radou
- · Replies 2 ·
Graduate Octonians (new paper by Louis Kauffman and Jon Hackett)
- marcus
- · Replies 16 ·
Undergrad Hyperbola conjugate,a>b questions
- sachin123
- · Replies 6 ·
Graduate How to prove that a given set is a torus
- glmuelle
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Graduate Smooth covering map and smooth embedding
- huyichen
- · Replies 1 ·
Undergrad How can understanding metric space help with real-world problems?
- fireboy420
- · Replies 3 ·
Undergrad How can I find multiple right inverses?
- fireboy420
- · Replies 1 ·
Graduate What is the Gaussian Curvature of a Cone at its Vertex?
- lavenderblue
- · Replies 7 ·
Graduate A path connected product of path connected spaces
- radou
- · Replies 6 ·
Undergrad How this equation represent the equation of line?
- Hyperspace2
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Undergrad Metric scaling with different units on x and y axes
- Kmenex
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Graduate Defining manifolds without reference to the reals
- bcrowell
- · Replies 25 ·
Graduate Definition of 2D Biquadratic Surface - 65 Characters
- Shaddyab
- · Replies 3 ·
Graduate Is the Euclidean Metric on RxR and C a Valid Metric?
- fabbi007
- · Replies 1 ·
Graduate Is EndE Linear with Respect to c ^ ∞ (B)?
- math6
- · Replies 1 ·
Undergrad Positioning B at the distance dz from A
- onako
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Graduate Hamiltonian flow vs. Hamiltonian vector field in phase space
- Rasalhague
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Graduate Is the pushforward map on tangent spaces to a product manifold an isomorphism?
- robforsub
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Graduate Why Is the Heine-Borel Theorem Unique to ℝ?
- Buri
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Graduate Smooth manifold and constant map
- huyichen
- · Replies 2 ·
Graduate What Are the Key Concepts in Alexei Kovalev's Article on Vector Subspaces?
- math6
- · Replies 9 ·
Graduate Vector fields in cylindrical and spherical coordinates
- arkajad
- · Replies 14 ·
Graduate How does defining topology through convergence determine open sets?
- wayneckm
- · Replies 1 ·
Graduate How to Find Conveniently Spaced Unit Vectors in N-Dimensions?
- Gerenuk
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Undergrad Calculate coordinate in 3D triangle.
- pjhphysics
- · Replies 2 ·
Graduate Vertical and horizontal subspace
- math6
- · Replies 12 ·
Graduate Vertical and horizontal subspace of a vector space T_pP.
- wdlang
- · Replies 9 ·
Graduate Bundle morphisms and automorphism
- math6
- · Replies 12 ·
Graduate Probability measure on smooth functions
- Tac-Tics
- · Replies 2 ·
Graduate What would a 3D ball look like (in 3D) if it were partially in 4D space?
- Diffused
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Graduate Simple Applications of Noncommutative Geometry?
- LukeD
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