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 Solving a 'skew' quadrilateral for vertex position.
- athuss
- · Replies 3 ·
Graduate Why is the gradient of a function considered a one form in Schutz's book on GR?
- GarageDweller
- · Replies 15 ·
Undergrad Calculate Position - Angle Difference of Arrival
- murrdpirate0
- · Replies 4 ·
Graduate Evenly spaced points in oddly shaped volume?
- blrnd
- · Replies 4 ·
Graduate Understanding Minimal Surfaces: QFT Math Prerequisites
- JPBenowitz
- · Replies 5 ·
Graduate Integer Cohomology of Real Infinite-Dimensional Grassmann Manifold
- lavinia
- · Replies 4 ·
Graduate Cat vs Mouse (bipartite graphs) - can mouse evade capture?
- KOSS
- · Replies 2 ·
How to Solve Vector Equations and Find Distances in Analytic Geometry?
- Fantini
- · Replies 1 ·
Graduate Algebraic Topology - Retractions and Homomorpisms Induced by Inclusions
- Math Amateur
- · Replies 1 ·
Graduate Killing vectors for a given Kahler potential
- L0r3n20
- · Replies 3 ·
Graduate Algebraic Topology - Fundamental Group and the Homomorphism induced by h
- Math Amateur
- · Replies 3 ·
Graduate Calculating the Z2 cohomology of the Klein Bottle using intersections
- lavinia
- · Replies 3 ·
Graduate Is the Ratio of Circumference to Diameter Always Pi in Non-Euclidean Space?
- Allojubrious
- · Replies 11 ·
Graduate How does the proof of Sard's theorem utilize vector spaces and planes?
- brydustin
- · Replies 1 ·
Graduate Computing arc length in Poincare disk model of hyperbolic space
- owlpride
- · Replies 4 ·
Graduate Exterior algebra and n-dimensional volumes
- coquelicot
- · Replies 26 ·
Graduate Is Every Element of n-Torus DeRham Cohomology Independent?
- Sina
- · Replies 3 ·
Graduate What is the Klein Four-Group Geometry and Its Applications?
- JeremyEbert
- · Replies 57 ·
Graduate Orthogonal Lines and their line element
- Vorde
- · Replies 2 ·
Undergrad How Can You Calculate the Center of Rotation in 3D Space?
- yasith
- · Replies 1 ·
Graduate How Does a Vector Transform Across Different Charts on a Manifold?
- sadegh4137
- · Replies 1 ·
Graduate Euler Angles - Why Post Multiplication
- phiby
- · Replies 4 ·
Graduate Why Does the Second Equality Hold in Multi-Linear Algebra?
- brydustin
- · Replies 1 ·
Graduate Is There Such a Thing as DeRham Homology?
- WWGD
- · Replies 10 ·
Graduate How Can I Understand the Geometrical Construction of Klein's Quartic?
- mery2
- · Replies 1 ·
Undergrad How Do You Define an Axis with Three Unit Vectors?
- mattsap
- · Replies 3 ·
Graduate Simplify Condition for Chord Length Equals Angle?
- DuncanM
- · Replies 1 ·
Graduate Poincaré disk: metric and isometric action
- Sajet
- · Replies 6 ·
Graduate Second fundamental form of surface with diagonal metric
- Sina
- · Replies 8 ·
Graduate Understanding Monodromy Map of a Covering Space: Can Anyone Help?
- angy
- · Replies 3 ·
Graduate Rao: Proposition 1.2.4. Superfluous section of proof?
- Rasalhague
- · Replies 1 ·
Graduate The singular points on f = x^2 y - x y on a plane
- naturemath
- · Replies 5 ·
Undergrad Distance of a point to an Ellipsoid
- jaykavathe
- · Replies 1 ·
Graduate Understanding the Lie Derivative of Tensors: A Step-by-Step Approach
- sadegh4137
- · Replies 1 ·
Graduate Deformation retraction of plane RP2
- semigroups
- · Replies 23 ·
Graduate What is the Definition of C1-Close Curve in Whitney Topology?
- Ad123q
- · Replies 1 ·
Graduate Orthogonality of Absolute Derivative
- rbwang1225
- · Replies 1 ·
Graduate What's relation between factorial and tensor components.?
- aditya23456
- · Replies 4 ·
Undergrad Triangle Inequalities Relationship
- ait.abd
- · Replies 5 ·
Graduate Are Homotopic Maps of the n-Sphere Antipodal?
- alexfloo
- · Replies 8 ·
Graduate Tensor fields and multiplication
- Kontilera
- · Replies 4 ·
Graduate What are the properties of orbifolds and how do they differ from manifolds?
- scottbekerham
- · Replies 10 ·
Graduate How to verify if a mapping is quotient.
- SVD
- · Replies 3 ·
Graduate Inversion w.r.t. a sphere: Operator
- neelakash
- · Replies 18 ·
Graduate Stoke's theorem and normal vectors
- BrianC12
- · Replies 12 ·
Graduate Cohomology with coefficients in a sheaf
- feuxfollets
- · Replies 3 ·
Graduate Can you explain dual tensors and tensor densities with a simple example?
- aditya23456
- · Replies 4 ·
Graduate Varying Energy in a Schwartzschild Metric
- Meselwulf
- · Replies 2 ·
Graduate Quickly: Multlinearity of exterior derivative, and proof of invariant formula
- ianhoolihan
- · Replies 3 ·
Undergrad Help with a Geometry Problem - Calculating The Radius of a Curve
- tomtomtom1
- · Replies 1 ·
Undergrad What is the shape of the surface defined by a(x²+y²)+bz²=c?
- pcm
- · Replies 4 ·
Graduate How can I construct a Riemann surface from branch data?
- angy
- · Replies 3 ·
Graduate What is the significance of the modulus of a Riemann surface?
- theorem4.5.9
- · Replies 9 ·
Undergrad 1-point perspective Room with 2- and 3-point Objects possible?
- Robert_N
- · Replies 11 ·
Undergrad Poincare Conjecture: Explaining Lower Dimension Equivalent
- Phyzwizz
- · Replies 2 ·
Graduate Morse homology of a tilted torus.
- MathematicalPhysicist
- · Replies 3 ·
Graduate Visualising singular cohomology using cap product.
- Jamma
- · Replies 1 ·
Graduate How to Calculate the Axis of Rotation in 3D Space?
- yasith
- · Replies 16 ·
Graduate Deriving Elastica Equation: Bernoulli/Newton
- hushish
- · Replies 6 ·
Undergrad Checking if a point is on an arc, defined by two vectors
- deluksic
- · Replies 14 ·
Graduate Does the metric tensor only depend on the coordinate system used?
- HilbertSpace
- · Replies 17 ·
Graduate Calculating Riemann Curvature Tensor: Faster Methods?
- HilbertSpace
- · Replies 1 ·
Graduate How Do Velocity and Displacement Vectors Transform in Plane Polar Coordinates?
- ShayanJ
- · Replies 7 ·
Graduate What are the best resources for beginners to learn about Holonomy Groups?
- LightKage
- · Replies 2 ·
Graduate How Do Indices Function in Tensor Notation?
- Miloslav
- · Replies 3 ·
Undergrad FInd the Vector passing thru a point and parallel to two points in a plane
- kailsen
- · Replies 2 ·
Graduate Topologising RP2 using open sets in R3
- Math Amateur
- · Replies 5 ·
Undergrad How to make the total length of a trail as short as possible?
- moonman239
- · Replies 9 ·
High School How to draw a logarithmic spiral
- TalonD
- · Replies 2 ·
Graduate Levi-cevita parallel propagation on a sphere
- ianhoolihan
- · Replies 13 ·
Graduate Euler characteristic of complex projective plane
- jgens
- · Replies 7 ·
Graduate Limiting the placement of covering rectangle with smaller rectangles algorithm?
- the_anomaly
- · Replies 2 ·
Graduate Developing a General Formula for a family of Curve Shapes
- jmosk
- · Replies 4 ·
Graduate Vectors, Covectors & Tangentvector in Manifolds without Metric
- Kontilera
- · Replies 2 ·
Graduate Understanding Minimal Surfaces: Laplace Pressure of a Capillary Bridge
- lionelwang
- · Replies 6 ·
Graduate What are projective transformations?
- A_B
- · Replies 5 ·
Graduate Can 5th order equations be solved by means other than radicals?
- meldraft
- · Replies 1 ·
Undergrad What is the solution to Dido's problem?
- pilpel
- · Replies 1 ·
Undergrad What is the purpose of the normal equation of the plane?
- Alshia
- · Replies 8 ·
Graduate Question on energy displacement.
- MathematicalPhysicist
- · Replies 1 ·
Graduate How to create normal Riemann surface for cubic?
- jackmell
- · Replies 8 ·
Graduate Reference for simplicial homology and cohomology
- lavinia
- · Replies 23 ·
Graduate Is Horn-torus a valid genus-1 Riemann Surface?
- jackmell
- · Replies 2 ·
Graduate Question on tensor notation in group theory
- BWV
- · Replies 1 ·
Graduate Interpretation of torsion vs riemann tensor
- ianhoolihan
- · Replies 24 ·
Undergrad Stuck on a 3D coordinate geometry problem
- yasith
- · Replies 11 ·
High School Why Do 3D Coordinates Include Four Parameters?
- marensi
- · Replies 2 ·
Undergrad What are some solved exercises on graph connectedness in graph theory?
- Deimantas
- · Replies 1 ·
Graduate Index Notation: ∂_i 1/r = -x_i/r^3?
- ellocomateo
- · Replies 2 ·
Graduate Smooth Homotopy, Regular Values (Milnor)
- Sina
- · Replies 4 ·
Graduate Is e an Accumulation Point in This Topology?
- Arian.D
- · Replies 3 ·
Graduate Path ordered integral over simplices?
- ianhoolihan
- · Replies 3 ·
Graduate Help finishing connectedness proof.
- Mister Eric
- · Replies 1 ·
Graduate 4 component spinor isomorphic to S^7?
- Spinnor
- · Replies 3 ·
Graduate Parallel propagator and covariant derivative of vector
- ianhoolihan
- · Replies 5 ·
Graduate Rigged Hilbert Space: Algebraic v.s. Continuous Dual Space
- Rasalhague
- · Replies 5 ·
Graduate Mapping contours over normal Riemann surfaces
- jackmell
- · Replies 5 ·
Graduate Xyx^-1y^-1 a Lie group homomorphism?
- Sajet
- · Replies 2 ·
Graduate Linear change of coordinates preserving a certain property
- naturemath
- · Replies 1 ·
Undergrad Is a Helix One-Dimensional?
- phinds
- · Replies 18 ·