Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Threads
Graduate What is a scalar (under rotation) 1-chain ?
- ianhoolihan
- · Replies 1 ·
Graduate Vector Valued Forms: Rank (n,p) Tensors
- Matterwave
- · Replies 7 ·
Graduate Rotating vectors on a unit sphere
- tut_einstein
- · Replies 4 ·
Undergrad What is a Unitary Ball and How Do Different Metrics Shape Its Form?
- zendani
- · Replies 7 ·
Graduate Parallel Transport: Does Quadrilateral Close Without Torsion?
- Matterwave
- · Replies 14 ·
Graduate Is \(\nabla \times (\phi \nabla \phi) = 0\) for a Differentiable Scalar Field?
- cristina89
- · Replies 3 ·
Graduate Ostensible Contradiction b/w Continuity & Cartan's Magic Formula
- mma
- · Replies 2 ·
Graduate Trace - Integration - Average - Tensor Calculus
- Joschua_S
- · Replies 5 ·
It is given that the lines intersect. Find the value of a.
- Punch
- · Replies 2 ·
Graduate Relations Involving the Directional Cosines
- Septim
- · Replies 5 ·
Graduate Maths Video：Visible Fibre Bundle
- Strongart
- · Replies 1 ·
Graduate Physics Quantity Corresponding to Christoffel
- dpa
- · Replies 1 ·
Graduate How Can You Prove an Atlas Is Maximal?
- Identity
- · Replies 7 ·
Graduate Good treatment of Affine Geometry?
- Matterwave
- · Replies 4 ·
Graduate How to find fractal dimension of Gosper Island
- dracobook
- · Replies 2 ·
Graduate RElation of partial differential operator and Basis vector
- dpa
- · Replies 5 ·
Graduate Computing the Modular Group of the Torus
- electroweak
- · Replies 2 ·
Graduate Continuity of real portion of cosine variant of 3d fractals
- Matt Benesi
- · Replies 4 ·
Graduate Topology of the diffeomorphism group
- electroweak
- · Replies 2 ·
Graduate Intuition for Parallel Transport
- dpa
- · Replies 3 ·
Undergrad A 'simple' vector problem - where a line meets a plane
- Snoopey
- · Replies 2 ·
Graduate Homeomorphism between R and {0}xR
- math6
- · Replies 2 ·
Graduate Circumference of a circle in Poincare Half Plane
- demonelite123
- · Replies 1 ·
Undergrad Interior angles of polygon on a sphere
- nitman
- · Replies 2 ·
Graduate Understanding the Fibre Bundle Structure of Mobius Band
- rbwang1225
- · Replies 11 ·
Graduate DG - Clifford Algebra / Differential Forms
- Mike706
- · Replies 6 ·
Vertices position relative to a Quad
- probiner
- · Replies 2 ·
Graduate Cohomology of Z^+ and Infinite Dimensional de Rham Cohomology
- kakarotyjn
- · Replies 4 ·
Graduate Squaring the Square -> Cubing the Rectangular Prism
- TheFerruccio
- · Replies 6 ·
Graduate How to Prove the Riemann Curvature Tensor Equation?
- Black Integra
- · Replies 1 ·
Graduate Homology of formally infinite chains
- Jamma
- · Replies 1 ·
Graduate Why do manifolds require a Riemannian metric?
- Alesak
- · Replies 17 ·
Graduate Coordinate based vs non-coordinate based differential geometry
- Mike706
- · Replies 6 ·
Undergrad Why Convert Equations to Parametric Form?
- Fuz
- · Replies 6 ·
Graduate Mean Curvature at Extremum Points on a Closed Surface
- hedipaldi
- · Replies 10 ·
Graduate Different approches to Geometry
- ShayanJ
- · Replies 3 ·
Undergrad [Help] Genus: Having difficulty to fully understand it.
- probiner
- · Replies 3 ·
Undergrad Robust Algorithm to Order Parallel Polylines
- Kyudos
- · Replies 8 ·
Graduate Topological dimension of the image of a smooth curve in a manifold
- Rick_D
- · Replies 9 ·
Ouroboros Ball: Meaning & Image
- Ginkgo
- · Replies 4 ·
Graduate Euclidean geometry and complex plane
- GcSanchez05
- · Replies 4 ·
Graduate Cayley-Klein Geometries and physics
- GcSanchez05
- · Replies 2 ·
Graduate Are My Intuitions on Covariance and Contravariance Correct?
- Hymne
- · Replies 23 ·
Graduate Can a 4-D Hypercube be projected onto 3-space?
- PhanthomJay
- · Replies 7 ·
Graduate Question for geometers: How to describe this problems of this kind?
- Galileo
- · Replies 1 ·
Graduate How to simulate a random walk on a sphere
- phonic
- · Replies 2 ·
Graduate Drive a complex field, get something like torsion?
- Spinnor
- · Replies 1 ·
Graduate Spherical Pythagorean theorem - finding length of longer side
- Plutoniummatt
- · Replies 3 ·
Graduate Why does f(f^-1(E)) $\subset$ E?
- IniquiTrance
- · Replies 5 ·
Graduate Basic diff. geometry question - Gradient of F
- Vasileios
- · Replies 4 ·
Undergrad Finding the distance between a plane and a point using the normal
- Endevor
- · Replies 5 ·
Undergrad Assuming Complex Shape a Simple Shape. What is this called?
- chiako
- · Replies 2 ·
Perpendicular vectors, triangle, tetrahedron
- furor celtica
- · Replies 3 ·
Graduate Simple Geometry Question about a Complex Situation -Spherical/3D cartesian
- BrightstarVI
- · Replies 7 ·
Graduate Understanding Differential Manifolds and Local Topologies in n-Dimensions
- hedipaldi
- · Replies 8 ·
Graduate What are the contents of the Differential Geometry Library?
- HelenGolovina
- · Replies 2 ·
Graduate Antisymmetric connection (Torsion Tensor)
- psimeson
- · Replies 6 ·
Undergrad Show two parrallelograms have same area
- DEMJR
- · Replies 1 ·
Graduate What's algebraic geometry good for?
- AdrianZ
- · Replies 4 ·
Graduate Understanding the Inverse of a Fiber Bundle Projection Map
- Matterwave
- · Replies 17 ·
Graduate Need help understanding the pushforward
- Identity
- · Replies 9 ·
Undergrad Finding the Minor and major axis lenths of an ellipse from conjugate diameters
- Vinni
- · Replies 2 ·
Undergrad Ellipse inside a circle - intersection
- Andromedus
- · Replies 12 ·
Graduate A geometric property of a map from points to sets?
- Stephen Tashi
- · Replies 1 ·
High School Can I Prove That Rectangle ABCD and Square BFGH Have the Same Area?
- DEMJR
- · Replies 2 ·
High School Solving SIN, COS, TAN with a TI-30XA Calculator
- ArcherofScience
- · Replies 5 ·
Undergrad Prove similarity (leading to a Pyth. proof)
- DEMJR
- · Replies 8 ·
Undergrad Optimal Placement of Water Fountain in a City: Solving for Equidistant Points
- moonman239
- · Replies 1 ·
Graduate Optimisation along a curve on a surface
- Vasileios
- · Replies 1 ·
Undergrad For what angles can the exact value of all trigonometrig ratios be found?
- AlephOmega
- · Replies 8 ·
Graduate Is R mod 2pi a Compact Manifold?
- Bahram_phd
- · Replies 6 ·
Undergrad Algorithm for cutting a polygon into specific shapes
- zdaraveak
- · Replies 5 ·
Undergrad Expressing cartesian unit vectors in terms of spherical unit vectors
- Repetit
- · Replies 9 ·
Graduate Finding surface area of cone in spherical coordinates
- ninevolt
- · Replies 1 ·
Graduate What Is the Relationship Between the Lie-Algebra of SO(3,1) and SU(2)?
- Syrius
- · Replies 3 ·
Undergrad Are spheres isotropic and cubes anisotropic?
- Dr Bwts
- · Replies 8 ·
Undergrad Wire sag calculation Catenary?
- Machinist1
- · Replies 4 ·
High School Radius of Earth at specific angle,
- TheJere
- · Replies 3 ·
Undergrad Finding the (x, y, z) of a point on a sphere
- Bazil
- · Replies 2 ·
Graduate Cohomology with compact support
- Jamma
- · Replies 8 ·
Graduate Very elementary differential geometry questions
- jeo23
- · Replies 7 ·
Undergrad Calculating 3D Vector Resultant - Suneyna
- suneyna
- · Replies 6 ·
Graduate Why Does a=dB Imply ∫a=0 on Compact Manifolds?
- redrzewski
- · Replies 5 ·
Graduate View Tensors as Multi-Variable Functions?
- blashmet
- · Replies 9 ·
Graduate Question regarding Einstein's summation convention
- rohitgupta
- · Replies 6 ·
Undergrad Determining distance from Focus to Point on Parabola
- Vorde
- · Replies 1 ·
High School Polygons can be designated as N-gons. What about vertices?
- probiner
- · Replies 4 ·
Undergrad Angles between normals at 2 points on a surface
- svishal03
- · Replies 2 ·
Graduate Hi all,Let λ>0 and define an equivalence relation on
- Jooolz
- · Replies 1 ·
Undergrad Find Length of Line Segment Connecting Center & Point of Ellipse
- 32l3n
- · Replies 3 ·
Graduate Surfaces with Same Gaussian Curvature: Hedi's Ques.
- hedipaldi
- · Replies 7 ·
Graduate Commutation property of covariant derivative
- demonelite123
- · Replies 1 ·
Graduate Mobius strips and similar manifolds
- Pagan Harpoon
- · Replies 13 ·
Graduate Projection of a point onto a line in 3-space.
- Tynged
- · Replies 2 ·
Graduate A Conceptual Question on de Rham cohomology.
- T_Mart
- · Replies 7 ·
Graduate Book on Curvature wrong or am I confused
- conquest
- · Replies 5 ·
Graduate Non-embedded Manifolds: How do they happen
- marschmellow
- · Replies 6 ·
Graduate Spot the error (circumference of ellipse)
- nonequilibrium
- · Replies 2 ·
Graduate Principal bundles with connections
- holy_toaster
- · Replies 6 ·
Graduate How is the Ricci Tensor Derived from the Ricci 1-Form?
- graupner1000
- · Replies 4 ·