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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Undergrad Is a Helix One-Dimensional?
- phinds
- · Replies 18 ·
Undergrad Proving Ceva's Theorem with Triangle PQR
- tomz
- · Replies 1 ·
Graduate Topology generated by interior operator
- Rasalhague
- · Replies 6 ·
Graduate Intuition check-tiling a 3-sphere with 16 tetrahedra
- cephron
- · Replies 2 ·
Graduate Proving no simplex has 2-fold symmetry
- zooxanthellae
- · Replies 2 ·
Undergrad Proof without words: Geometric series
- Bipolarity
- · Replies 6 ·
Graduate Derivation of the geodesic equation from the Lagrangian
- Euphemia
- · Replies 2 ·
Graduate What is a Conifold and How is it Related to Orbifold Singularities?
- Sorento7
- · Replies 7 ·
Graduate Covariant exterior derivative vs regular exterior derivative
- Matterwave
- · Replies 19 ·
Undergrad Ductwork surface area calculation problem
- tibor
- · Replies 1 ·
Graduate Define a function z = f(x,y) by f(0,0) = 0 and otherwise?
- matthewturner
- · Replies 3 ·
Graduate Does the embedding theorem for manifolds in higher-dimensional spaces exist?
- Greylorn
- · Replies 5 ·
Graduate Is π(L) a Submanifold of the Torus?
- jgens
- · Replies 2 ·
Graduate Trying to prove dual of there are at least tree points on every line
- A_B
- · Replies 11 ·
Undergrad Translation using rotation matrix
- laurah
- · Replies 3 ·
High School Plan Sprinkler System Layout: Minimize # Circles for Max Coverage
- Firewolffzc
- · Replies 8 ·
Graduate How to compute the exponential map
- Identity
- · Replies 4 ·
Graduate Anti-Symmetric Tensor: Solving for 'a' in W[ijWk]l=aW[ijWkl]
- NAZIMTUFAIL
- · Replies 1 ·
Graduate Proving the Jacobi identity from invariance
- ianhoolihan
- · Replies 2 ·
Undergrad Is a 1 degree rotation of a point possible?
- Cyclopse
- · Replies 1 ·
Graduate Riemannian Submersions: Understanding the Definitions and Well-Definedness
- Sajet
- · Replies 4 ·
Graduate Intuitive explanation of parallel transport and geodesics
- teodron
- · Replies 44 ·
Undergrad Tetris-like combinatorial problem
- bitttttor
- · Replies 10 ·
Graduate Perpendicular vector in 6th dimensional space
- Sorento7
- · Replies 1 ·
Graduate Simple quesion about metric on extended real line
- sunjin09
- · Replies 4 ·
Graduate Function that transforms (half) plane to annulus
- meldraft
- · Replies 1 ·
High School Whats difference between inner product and dot product?
- aditya23456
- · Replies 4 ·
Graduate How to construct the two sheet cover of Klein Bottle?
- Fangyang Tian
- · Replies 13 ·
Graduate Dense orbits of irrational n-tuples in n-Torus
- claybaby
- · Replies 1 ·
Graduate Monomorphism cancellation property
- tom.coyne
- · Replies 9 ·
Undergrad Spherical triangle area and interior angle sum relationship
- Vorde
- · Replies 22 ·
Graduate What is the Tensor Analog of the Poincare Lemma?
- Ancient_Nomad
- · Replies 2 ·
Graduate Smooth Homotopy: Problem with Definition?
- jgens
- · Replies 1 ·
Undergrad Interesting problem I thought of
- Nano-Passion
- · Replies 8 ·
Graduate Invariant vectors/eigenvectors of R(., v)v
- Sajet
- · Replies 6 ·
Graduate Quick question about interpretation of contravariant and covariant components
- enfield
- · Replies 3 ·
Graduate Regular Point Theorem of Manifolds with Boundaries
- Fangyang Tian
- · Replies 1 ·
Graduate Vector field curvature in the complex plane
- meldraft
- · Replies 4 ·
Graduate Symmetric vector to tensor representation?
- hiroman
- · Replies 1 ·
Graduate How Einstein field equation becomes the Poisson equation?
- lili 73
- · Replies 3 ·
Graduate Relationship between cusps in algebraic curves and discrete groups
- Fangyang Tian
- · Replies 1 ·
Graduate How to determine whether the preimage of a point is a imbedding submanifold?
- Fangyang Tian
- · Replies 2 ·
Undergrad What's it called when a 3D shape can be made of 2D surfaces of all the same size
- keysle
- · Replies 3 ·
Graduate Two approaches to lie algebras
- Hymne
- · Replies 10 ·
Graduate Isometric diffeomorphism on HPn/S^4n+3
- Sajet
- · Replies 6 ·
Graduate Covectors not identical with 1-forms?
- pellman
- · Replies 3 ·
Undergrad Decompose rotations of a vector
- TheDestroyer
- · Replies 2 ·
Graduate How does the covariant exterior derivative generalize to vector bundles?
- Matterwave
- · Replies 2 ·
Graduate What is the Definition of a Manifold and How Does it Relate to Topology?
- sadegh4137
- · Replies 4 ·
Undergrad How many tangents can be drawn from a point to hyperbola?
- vkash
- · Replies 3 ·
Undergrad What condition makes a map invertible?
- sadegh4137
- · Replies 2 ·
Graduate Lie Groups and Canonical Coordinates
- Sina
- · Replies 9 ·
Graduate Vertical subspace in HPn (Riemannian submersions)
- Sajet
- · Replies 7 ·
Graduate Velocity Vector has Coordinate-Independent Meaning
- WWGD
- · Replies 4 ·
Graduate Is the metric a property of the manifold or the coordinate system?
- ShayanJ
- · Replies 12 ·
Undergrad Clarifying the flipping property of planes in Kiselev's Geometry
- Mishiko
- · Replies 8 ·
Graduate Meaning of totally antisymmetric tensor
- homology
- · Replies 3 ·
Graduate On the properties of Homogeneous Spaces
- Redsummers
- · Replies 5 ·
Graduate Residues and the fundamental group
- alexfloo
- · Replies 1 ·
Graduate How many ways to compute Puiseux series?
- jackmell
- · Replies 2 ·
Graduate Is the bracket of graded derivations a natural graded derivation?
- MathematicalPhysicist
- · Replies 1 ·
Graduate Prove Finite Orthogonal Set is Linearly Independent
- bugatti79
- · Replies 3 ·
Graduate Proving Every Line is Contained by Two Planes: Using Incidence Axioms
- LCharette
- · Replies 2 ·
Graduate Is the interior of an angle a convex set?
- LCharette
- · Replies 3 ·
Graduate Does the presence of torsion require a non-symmetric metric?
- pellman
- · Replies 8 ·
Undergrad Number of vertices of an n-gon as n tends to infinity?
- cmos
- · Replies 2 ·
Graduate Connection coefficients as derivatives of parallel propagator
- ianhoolihan
- · Replies 1 ·
Graduate Circle becomes a pair of parallel lines
- zmodnz
- · Replies 9 ·
Graduate Limit of critical points of algebraic functions
- jackmell
- · Replies 4 ·
Graduate Equivalence classes and Induced metric
- Lily@pie
- · Replies 2 ·
Undergrad Determine the length of the curve sin(x)
- Loren Booda
- · Replies 5 ·
Graduate How Can Railroads Implement Design Alignment with Tangential Track Movements?
- tomtomtom1
- · Replies 1 ·
Graduate What Are Frame Bundles on Manifolds and Why Are They Important?
- Matterwave
- · Replies 39 ·
Graduate Product property of Maslov index: how to prove μ(ΨΛ) = μ(Λ) + 2μ(Ψ)?
- MathematicalPhysicist
- · Replies 2 ·
Graduate Is Symmetry Limited in Geometry?
- Islam Hassan
- · Replies 3 ·
Undergrad Find the length of this line associated with a circle
- waqarrashid33
- · Replies 1 ·
Graduate Show me a book about hyper-sphere (n-sphere)
- thanhsonsply
- · Replies 7 ·
Graduate What is the term for spaces with no distinguished points?
- alexfloo
- · Replies 3 ·
Why Should You Share Your Own Solution Online After Solving a Problem?
- Inconjecture
- · Replies 1 ·
Graduate Interpretation of projective space
- A_B
- · Replies 4 ·
Graduate Show that a bilinear form is an inner product
- CasinelliG
- · Replies 6 ·
Graduate Can an angle be considered to be a vector?
- TonyWallace
- · Replies 31 ·
Graduate What mathematics did Perelman use to prove Poicare's conjecture? Do
- talisman2212
- · Replies 2 ·
Undergrad Infinite set of points on a line.
- redrum419_7
- · Replies 5 ·
Graduate An ambiguity in the definition of tensors
- ShayanJ
- · Replies 11 ·
Graduate Why there cannot be a single chart for n-sphere?
- ayan849
- · Replies 24 ·
Graduate Distance from a point on an ellipse to the axis
- JimEd
- · Replies 27 ·
Graduate Can a differential manifold lack an affine connection entirely?
- ayan849
- · Replies 9 ·
Graduate Why Can Some Line Bundles Have Nonzero Sections While Others Cannot?
- duranduran
- · Replies 2 ·
Graduate Determining Lat, Long using trigonometry
- Insanity
- · Replies 2 ·
Graduate Importance of Lie algebra in differential geometry
- ianhoolihan
- · Replies 16 ·
Should I study metric spaces topology before general topology?
- Fantini
- · Replies 10 ·
Graduate Proving the Symplectic Positive Definite Matrix Theorem
- MathematicalPhysicist
- · Replies 8 ·
Graduate Deriving equations for twisted ring motion in a Torbus geometry
- Ray Fischer
- · Replies 13 ·
Graduate Can one define a function that sends lets say a line in r2 to a volume in r3?
- Kidphysics
- · Replies 7 ·
Undergrad Smoothing a railway curve by moving points normal to tangent lines
- tomtomtom1
- · Replies 1 ·
Graduate What is the concept of a natural coordinate in manifold geometry?
- ShayanJ
- · Replies 3 ·
Graduate Coordinate-free notation for Riemann and Ricci curvature tensors
- Matterwave
- · Replies 3 ·
Graduate Effective angular diameter of the sun for this experiment
- omoplata
- · Replies 2 ·
Graduate What does the two-torus T² look like visually?
- waterfall
- · Replies 4 ·