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 Is Local Flow of a Vector Field a Diffeomorphism?
- center o bass
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Graduate Understanding Derivatives of f(r) in Multiple Variables
- Jhenrique
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Graduate Smooth maps between manifolds domain restriction
- center o bass
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Graduate Are any two geodesics the same after applying an isometry?
- nonequilibrium
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Finding focus, given two tangents
- Saitama
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Graduate What Does Null-Homotopic Framing Mean in Knot Topology?
- WWGD
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Graduate How Do Different Coordinate Systems Affect Vector Operations?
- ShayanJ
- · Replies 9 ·
Graduate Is it possible to specify a 3d surface in 4d space with just one vector?
- dEdt
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Graduate Metric tensor after constructing a quotient space.
- center o bass
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Graduate Are you ready to test my knowledge of tensors?
- CosmicKitten
- · Replies 38 ·
Graduate Deductions about extending a pseudo-riemannian manifold
- PAllen
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How to calculate center coordinates of two reverse arcs in 3D space
- Brad_
- · Replies 8 ·
Graduate Top Homology of Connected , Orientable Manifolds with Boundary
- WWGD
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Graduate In how many ways can you embed a Riemannian manifold in R^n?
- nonequilibrium
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Graduate Can Non-Smooth C^1 Knots be Orientable?
- WWGD
- · Replies 30 ·
Graduate Difference between tangent space and affine tangent plane
- knowswhale
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Graduate What Properties Are Preserved by Diffeomorphisms?
- center o bass
- · Replies 11 ·
Kuba's question at Yahoo Answers regarding finding the surface area of a torus
- MarkFL
- · Replies 1 ·
Graduate How do axioms for Euclidean geometry exclude non-trivial topology?
- nonequilibrium
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Graduate Orientation of a Submanifold, given an Orientation of Ambient Manifold
- WWGD
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Graduate Is the Dual of a Reeb field a Contact Form?
- WWGD
- · Replies 9 ·
Undergrad Minimum distance between a disk in 3d space and a point above the disk
- CraigH
- · Replies 16 ·
Graduate A curve that intersects itself at some point w/o trig functions
- Lebombo
- · Replies 7 ·
Undergrad Volume of a closed surface (divergence theorem)
- Jhenrique
- · Replies 5 ·
Graduate Length change of diagonal in deformable triangle
- Niles
- · Replies 1 ·
Graduate Transversality of a Vector Field in terms of Forms (Open Books)
- WWGD
- · Replies 0 ·
Undergrad The Difference Between Euclidean and Riemannian Spaces
- LagrangeEuler
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Graduate Reparameterizing a helix with non-constant speed by arc length
- sarah7
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Graduate Naturality/commutativity of Mayer-Vietoris giving wrong answer?
- nonequilibrium
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Undergrad Is there a non-infinitesimal relation between solid angle and plane angles?
- Jhenrique
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Graduate Curve dividing Earth where opposite points have equal temperature
- Office_Shredder
- · Replies 16 ·
Graduate Is the Metric g a Complex Manifold?
- cuallito
- · Replies 1 ·
Robin's question at Yahoo Answers regarding the osculating circle of a parabola
- MarkFL
- · Replies 1 ·
Undergrad How to Divide a Sphere's Volume Equally into 3 Parts Using Parallel Planes?
- bcarlso2
- · Replies 4 ·
Graduate How Do Line and Surface Infinitesimals Differ in Mathematical Formulations?
- Jhenrique
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What is the solution to this vector geometry problem?
- Saitama
- · Replies 11 ·
Graduate Compactability and Killing vectors
- center o bass
- · Replies 8 ·
Graduate Induced Metric of a 2-Sphere: Why i≠j?
- pdxautodidact
- · Replies 6 ·
Graduate Does a compact manifold always have bounded sectional curvature?
- Sajet
- · Replies 2 ·
Mathematical addiction - looking for your next fix, non?
- DreamWeaver
- · Replies 2 ·
Graduate Hyperbolic geometry - relations between lines, curves, and hyperbolas
- Reuel
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Graduate Integral Definition of Exterior Derivative?
- bolbteppa
- · Replies 3 ·
Finite Tangent product / quotient
- DreamWeaver
- · Replies 3 ·
Undergrad How do I determine if a plane is even with respect to an axis?
- ainster31
- · Replies 4 ·
Graduate Should You Choose Classical or Modern Texts for Studying Curved Surfaces?
- mathnerd15
- · Replies 1 ·
Graduate Are Exact Forms on Smooth Manifolds Always a Sheaf?
- Mandelbroth
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Undergrad What is the name of the shape formed by combining 3 ellipses together?
- xaratustra
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Graduate Jacobi identity for covariant derivatives proof.
- center o bass
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Graduate How fundamental are functions, really?
- "pi"mp
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Graduate What Are Tensors and Why Are They Important in Physics?
- 7777777
- · Replies 34 ·
Graduate Relation between parameters of a vector field and it's projection
- center o bass
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Graduate Dimensionality of the space of p-forms
- center o bass
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Graduate Component of vector parallel to boundary while calculating divergence
- Urmi Roy
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Finding the line normal to a hyperbola
- MarkFL
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Graduate Regarding representations of the Lorentz group
- Kontilera
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What Determines the Locus of Midpoints Between Two Lines in Space?
- Perlita
- · Replies 7 ·
Strict tangents on smooth real curves
- mathbalarka
- · Replies 1 ·
Graduate Morse-witten cohomology for non-orientable target spaces
- electroweak
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Graduate Tangent space on complex manifolds
- mnb96
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Finding a parabola given its focus and directrix
- MarkFL
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Graduate Proving Kähler, finding the Kähler form
- Mak182
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Graduate Question on differentiable manifolds and tangent spaces
- mnb96
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Graduate Example of differentiable manifold of class C^1
- mnb96
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Graduate Finding Reeb Vector Fields Associated with Contact Forms
- WWGD
- · Replies 26 ·
Graduate What are some examples of open subsets that are not manifolds?
- mnb96
- · Replies 4 ·
Eliminating the xy-Term: Solving Rotating Axes Problem with θ = 30 degrees
- orcbum
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Graduate Redundancy of Lie Group Conditions
- Arkuski
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Graduate What Distinguishes a Reeb Vector Field from a General Contact Field?
- WWGD
- · Replies 4 ·
Graduate Clarification on Lie Derivatives
- center o bass
- · Replies 1 ·
Undergrad Find Direct Common Tangent of 2 Circles without Complexity
- Dumbledore211
- · Replies 1 ·
Graduate Where to learn differential geometry online?
- Superposed_Cat
- · Replies 1 ·
Graduate Calculating reciprocal base vectors
- epr1990
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Graduate Products of Embedded Submanifolds
- Arkuski
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Graduate Circles in Minkowski space: unknown notation
- nomadreid
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Graduate Trigonometric function expanded in spherical harmonics
- M_1
- · Replies 9 ·
Undergrad Difficulty picturing skew lines
- applestrudle
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Graduate Parameterize a geodesic using one of the coordinates
- PLuz
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Graduate General Conditions for Stokes' Theorem
- Mandelbroth
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Graduate Physical interpretation of the gradient theorem
- member 428835
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Graduate Rotating Shapes: Length of X-Axis at Time t
- 2.718281828459
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Graduate Differentiation Problem on Lie Groups
- lavinia
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Graduate Regarding coordinate and non-coordinate bases
- Kontilera
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Graduate Riemann surfaces over algebraic surfaces
- tom.stoer
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Graduate What Is the Difference Between M^a_b and M_b^a in Tensor-Index Notation?
- HJ Farnsworth
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Graduate Exterior differentiation and pullback
- center o bass
- · Replies 8 ·
Graduate On local trivializations and transition functions of fibre bundles
- lennyleonard
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Graduate Is there a formula for these circles?
- arkajad
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Graduate Finishing a Supposedly Simple Proof
- Mandelbroth
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Undergrad Radius of circle obtained by flattening a hemisphere
- goldust
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Graduate Literature on differential geometry, suggestions?
- saminator910
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Graduate Litterature on small or compact dimensions?
- center o bass
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Graduate Relation between det(spacetime metric) and det(spatial metric)
- center o bass
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Graduate Why does -u^-1(∂_μu)u^-1 = ∂_μ(u^-1) for gauge group elements?
- Kontilera
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Graduate Can the tensor product be visualized as a machine for processing vectors?
- Mandelbroth
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Graduate Definition of Parallel Vectors in Vector Spaces
- Dmobb Jr.
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Graduate Definition of the extrinsic-curvature tensor.
- center o bass
- · Replies 5 ·
Graduate Straight lines and flat surfaces
- birulami
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Undergrad What are Christoffel symbols and what are they used for?
- dynamic_master
- · Replies 2 ·
Graduate Good treatments on the differential geometry on surfaces.
- center o bass
- · Replies 1 ·
Graduate Why using diff. forms in electromagnetism?
- christianpoved
- · Replies 2 ·