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 Diagrammatic Notation for Tensors: Worthwhile Learning?
- Eidos
- · Replies 1 ·
Graduate Understand differentiable manifolds
- goksen
- · Replies 3 ·
Graduate What determines the number of differentiable structures on a manifold?
- matness
- · Replies 15 ·
Graduate Can You Explain the Meaning of the Affine Connection in Simple Terms?
- the shadow
- · Replies 12 ·
Graduate Tangent vectors in affine spaces
- mma
- · Replies 9 ·
Graduate What is the relationship between differential forms and degree?
- KarateMan
- · Replies 8 ·
Graduate How can we prove path connectedness and disconnectedness of certain groups?
- MathematicalPhysicist
- · Replies 10 ·
Graduate Proving Geodesic Pushed by Isometric Diffeomorphism
- CompuChip
- · Replies 4 ·
Graduate Theorem Egregium: Intrinsic Extrinsic Gauss Curvature of 3D Surfaces
- wofsy
- · Replies 5 ·
Graduate What is the significance of immersions and embeddings in the study of manifolds?
- Cincinnatus
- · Replies 8 ·
Graduate What Is the Dual Space in Spivak's Calculus on Manifolds?
- Peeter
- · Replies 9 ·
Graduate What preparation is needed for a differential geometry class?
- sparkster
- · Replies 22 ·
Graduate Number of zeros of (tangent) vector field on sphere
- justincase
- · Replies 6 ·
Graduate What Does the Dirac Delta Function Look Like in Curved Spacetime?
- friend
- · Replies 6 ·
Graduate Convert flat space function to curved space function?
- friend
- · Replies 5 ·
Undergrad The widest point on an ellipsoid
- only_huce
- · Replies 6 ·
Graduate Difference between scalar and dot product in tensor calculus
- matheinste
- · Replies 4 ·
Graduate Getting started with 4-manifolds from a differential-analytic perspective
- WWGD
- · Replies 10 ·
Graduate Reconciling Differential Forms Inner Product of Wedge with GA Dot
- Peeter
- · Replies 6 ·
Graduate How Do You Calculate Ray and Ellipsoid Intersections?
- bobthebanana
- · Replies 2 ·
Graduate Checking that a derivation commuting with d' defines an action on H*(d')
- astros
- · Replies 2 ·
Undergrad Finding the Normal to a Plane Using Vector Geometry
- bobmoin
- · Replies 1 ·
Graduate Can a point on any 2d surface be uniquely identified by only 2 coordinates?
- Werg22
- · Replies 10 ·
Graduate Classification Theorem of Surfaces
- Tchakra
- · Replies 8 ·
Graduate How to prove a function is an isometry
- Cincinnatus
- · Replies 4 ·
Graduate What is the Difference Between a Lie Subalgebra and a Subspace?
- KarateMan
- · Replies 5 ·
Graduate Deriving the Christoffel symbol formula from the covariant derivative
- John Creighto
- · Replies 2 ·
Graduate Kahler Manifolds: Understanding Mutual Compatibility
- WWGD
- · Replies 5 ·
Graduate How to Derive d^* Without Using the Hodge Star Operator?
- HenryGomes
- · Replies 5 ·
Graduate Is My Understanding of Homotopy and the Fundamental Group Correct?
- MathematicalPhysicist
- · Replies 7 ·
Graduate Parallel transport in flat polar coordinates
- Damidami
- · Replies 7 ·
Graduate What Are Tensors and Their Applications in Mathematics?
- nicksauce
- · Replies 7 ·
Graduate I am trying to figure out what exactly a dyadic is
- gphys
- · Replies 2 ·
Find English translations of Elie Cartan's Papers
- dx
- · Replies 2 ·
Graduate Covariant derivative of metric tensor
- Damidami
- · Replies 3 ·
Graduate Book recommendations for compact Lie groups and representations
- mrandersdk
- · Replies 2 ·
Undergrad Finding the area of an isosceles triangle inscribed in a circle
- studof09
- · Replies 1 ·
Graduate How Can I Find Tangents on a Surface Passing Through an External Point?
- AtulSharma
- · Replies 6 ·
Graduate Exterior Calculus and Differential Forms?
- Phrak
- · Replies 3 ·
Graduate Is H'_n(X) Isomorphic to H_n(X, y) in Relative Singular Homology?
- eastside00_99
- · Replies 17 ·
Graduate Tensor product commutes with pullback?
- CompuChip
- · Replies 3 ·
Graduate Divergence of a two dimensional 3 order tensor
- MasterD
- · Replies 1 ·
Graduate Curl or maxwell equations in higher dimensions
- snowstorm69
- · Replies 5 ·
Graduate The space of continuous functions.
- MathematicalPhysicist
- · Replies 15 ·
Graduate Calculating Riemannian Metric Tensor for a Vector
- ejays
- · Replies 5 ·
Graduate Does Convergence in Open-Compact Topology Ensure Pointwise Convergence?
- MathematicalPhysicist
- · Replies 3 ·
Graduate What happens when you multiply two simplices?
- homomorphism
- · Replies 6 ·
Graduate Fixed point theorem for strict contractions on compact metric spaces
- MathematicalPhysicist
- · Replies 8 ·
Graduate Examples of Separation Axioms
- MathematicalPhysicist
- · Replies 3 ·
Graduate Pascal's Triangle for non-commutative?
- Pythagorean
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Graduate Serre Spectral Sequence. Motivation
- WWGD
- · Replies 1 ·
Graduate Lie Derivative of Real-Valued Functions and Vectorfields on Manifolds
- cliowa
- · Replies 4 ·
Graduate Rotate point on sphere to exactly 'cut sphere in half'
- Twinbee
- · Replies 11 ·
Graduate Definition of a function by a metric.
- MathematicalPhysicist
- · Replies 5 ·
Graduate Resources for complex analysis, Riemann surfaces and complex mappings
- Shaun Culver
- · Replies 3 ·
Graduate Normal space goes to Normal space.
- MathematicalPhysicist
- · Replies 2 ·
Graduate What is the Connection Between Fibre Bundles and Their Components?
- matness
- · Replies 4 ·
Graduate Why does the Lie derivative formula give zero for scalar functions?
- jdstokes
- · Replies 5 ·
Graduate What Does the Bracket Operation < , > Signify in the Intersection Form Qm?
- WWGD
- · Replies 5 ·
Graduate Proving Equivalence of Metrics Using Concavity
- MathematicalPhysicist
- · Replies 4 ·
High School What is the difference between scalar and vector functions?
- quasar_4
- · Replies 5 ·
Graduate Prove Tensor Analysis Relation: Γᵢₖᵣ = ∊ᵢ • ∂∊ⱼ/∂qᵏ
- Arham
- · Replies 6 ·
Undergrad Consider a surface S on which a scalar field f is defined
- coverband
- · Replies 5 ·
Graduate Singularities and conservative vector fields
- NewGuy
- · Replies 2 ·
Graduate What are the basics of differential topology?
- Mystic998
- · Replies 7 ·
Undergrad Bezier curve(again): given Y, solve for X
- abeall
- · Replies 1 ·
Graduate Topological continuity (a few questions).
- MathematicalPhysicist
- · Replies 4 ·
Graduate Does c(t) = ((1+t,0),(0,1+t)) Provide a Counterexample on p.85 of Spivak's Book?
- zhentil
- · Replies 4 ·
Graduate What Resources Best Translate Mathematical Tensors for Physicists?
- dreamtheater
- · Replies 4 ·
Graduate Why Are Lie Groups Considered Manifolds?
- Shaun Culver
- · Replies 3 ·
Graduate Which Lie Groups are Riemann Manifolds?
- Bowles
- · Replies 12 ·
Graduate How to Prove the Magnetic Induction B from Vector Potential A Elegantly?
- Sagreda
- · Replies 1 ·
Graduate Understanding Surface Tensors: Pauli's Theory of Relativity
- eep
- · Replies 4 ·
Graduate Transformation of Rank 2 mixed tensor
- cathalcummins
- · Replies 1 ·
Graduate How to calculate the gradient of a dyadic in Cartesian coordinates
- esorolla
- · Replies 2 ·
Undergrad Can You Convert a 2D Shape into 3D by Rotating It?
- natski
- · Replies 9 ·
Graduate Non-Orthogonality of Frames Del/Delx^i ; i=1, n
- WWGD
- · Replies 7 ·
Graduate Calculating Offsets on the Normal Coordinate System
- chemart
- · Replies 3 ·
Graduate What is the Difference Between Vectors and Covectors?
- cathalcummins
- · Replies 5 ·
Graduate Geodesic coordinates and tensor identities
- haushofer
- · Replies 11 ·
Graduate Solve Gauss Curvature for Ruled Surface: A(s)+tB(s)
- moo5003
- · Replies 1 ·
Graduate Understanding tensor contraction
- jdstokes
- · Replies 10 ·
Graduate Frenet-Serre Frames and circles.
- WWGD
- · Replies 0 ·
Graduate Deriving T(\theta,\tau) from Definition of $\otimes$
- cathalcummins
- · Replies 3 ·
Graduate Converting negative rotation angle to counterclockwise angle for conic
- popsquare
- · Replies 2 ·
Graduate Are Geodesics Preserved by Diffeomorphisms of Hyperbolic Geometry?
- WWGD
- · Replies 8 ·
Graduate Can a One Parameter Family of Metrics Be Metricizable?
- Haelfix
- · Replies 2 ·
Graduate The Physical Significance of Tensor Product
- captain
- · Replies 17 ·
Graduate Translation of euler angles into rotation around arbitrary axis
- husham
- · Replies 3 ·
Graduate Non-integrable tangent distributions
- jostpuur
- · Replies 5 ·
Graduate Can smooth curves be represented using the exponential map and unit tangent vectors?
- brown042
- · Replies 6 ·
Graduate Is the correct formula for curvature using the arc length parameter?
- scottie_000
- · Replies 2 ·
Graduate Surface with Ricci scalar equal to two
- Giammy85
- · Replies 7 ·
Graduate Can Vector Fields be Extended to Submanifolds?
- WWGD
- · Replies 6 ·
Graduate What is the equation for helical path length around a torus?
- BasicWill
- · Replies 1 ·
Graduate Non-Degenerate Tensors: What is the Meaning and Significance?
- quasar_4
- · Replies 7 ·
Graduate Manifold & Metric: Does it Need a Metric?
- princeton118
- · Replies 4 ·
Graduate How to Perform Operations on Vector Fields F and G?
- Obstacle1
- · Replies 3 ·
Graduate Understanding Motivation of De Rham Cohomology for Manifolds
- Cincinnatus
- · Replies 10 ·
Graduate Does the Poincaré conjecture refer to π₁ or other fundamental groups?
- pivoxa15
- · Replies 2 ·