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 Why is P outside and nearer to A if λ/μ is between -1 and 0?
- matthew20103
- · Replies 2 ·
Unusual shapes created in MS Paint: what are they?
- darub
- · Replies 7 ·
Graduate What is the meaning of the shorthand notation used in dynamical systems?
- Rasalhague
- · Replies 4 ·
Undergrad Difference between isomorphism and equality in graph theory?
- mitcho
- · Replies 2 ·
Graduate Time-dependent Riemannian metric
- JohnSimpson
- · Replies 6 ·
Graduate Nonzero exact 1-form implies foliation?
- ivl
- · Replies 5 ·
Undergrad How do you construct the pattern of a dragonfly wing using the golden ratio?
- kaleidoscope
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Graduate Simple-Connectedness in Complex Plane: Def. in Terms of Riemann Sphere.
- WWGD
- · Replies 1 ·
Graduate Characteristic Homology Classes
- Jamma
- · Replies 8 ·
Graduate Homotopy extension property for CW pairs (Hatcher)
- ForMyThunder
- · Replies 3 ·
Graduate Homology and Integration; Req. for Proof.
- Bacle
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Graduate Connected Sum of Orientable Manifolds is Orientable
- Bacle
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Graduate Special sequences in a product metric space
- holy_toaster
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Graduate Bounding Pairs of Dehn Twists are Trivial
- WWGD
- · Replies 6 ·
Graduate Can A Tensor Multiplied by 0 Produce a Null Tensor?
- tenchotomic
- · Replies 3 ·
High School What are open shapes made of line segments called?
- aspiring_one
- · Replies 3 ·
Graduate Basic Confusion: Genus, Homology (Exm of Torus)
- Bacle
- · Replies 2 ·
Graduate Proving Constant Angle of Tangent Lines to a Curve with y=0 and z=x
- MathematicalPhysicist
- · Replies 4 ·
Graduate Is the Transversal Intersection of Manifolds a Manifold?
- WWGD
- · Replies 4 ·
Undergrad Finding Tangent Lines to Two Circles
- flyingmuskrat
- · Replies 4 ·
Graduate Volume of partial ellipsoid cut by plane
- Chuck37
- · Replies 3 ·
Graduate Desargues Theorem Proof Using Homogeneous Coordinate
- wawar05
- · Replies 1 ·
Graduate Calculating Surface Area Perturbations in n-Sphere Theory
- andert
- · Replies 1 ·
Graduate Metric field and coordinate system
- 01030312
- · Replies 1 ·
Graduate Do Charts of a Smooth Manifold Always Overlap?
- hansenscane
- · Replies 6 ·
Graduate Law of Sines (Elliptic, Hyperbolic, Euclidean)
- DarthPickley
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Graduate What is the proof for the statement about facets in a simplex triangulation?
- e(ho0n3
- · Replies 2 ·
Graduate What is the Universal Cover of the Figure-8?
- redbowlover
- · Replies 2 ·
Graduate Why is homology isomorphic to reduced homology plus Z?
- redbowlover
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Graduate Why chern number must be an integer?
- wdlang
- · Replies 12 ·
Graduate What Are 4-vectors and Relativistic Tensors?
- shrubber
- · Replies 1 ·
Graduate Product of Two Levi-Civita Symbols in N-dimensions
- akoohpaee
- · Replies 3 ·
Graduate Dihedral angles for expanded icosidodecahedron.
- StevenM
- · Replies 1 ·
Graduate Get Lorentzian Spherically Symmetric Metric to Sylvester Form
- tut_einstein
- · Replies 2 ·
Undergrad Basic triangle plane geometry problem - impossible?
- rieuk
- · Replies 2 ·
Graduate Basic thing of Conic in Projective Geometry
- wawar05
- · Replies 3 ·
Graduate What are Calabi-Yau Manifolds?
- MathematicalPhysicist
- · Replies 3 ·
Graduate What is the definition of Lie derivatives?
- yifli
- · Replies 2 ·
Graduate Uncertain about premise for proof.
- madsmh
- · Replies 2 ·
Graduate What axioms should a groupoid satisfy and how does it differ from a group?
- AdrianZ
- · Replies 4 ·
Graduate Proving Non-Decomposability of Wedge Product in Higher Dimensional Vector Spaces
- facenian
- · Replies 8 ·
Graduate Can semi-major and semi-minor axes be time dependent in ellipse equations?
- WannabeNewton
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Graduate Transformation to get a metric to diagonal form
- tut_einstein
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Graduate Equation of Curve Using Arc Length and Two Points
- Kurani
- · Replies 3 ·
Graduate Optimal Number of Charts for Smooth Manifolds in Dimension 2
- TrickyDicky
- · Replies 14 ·
Graduate Differences between upper and lower convected derivatives, Jaumann and Lie derivatives
- muzialis
- · Replies 1 ·
Graduate Trying to study Tensors (but )
- Curl
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Graduate Metric Tensors for 2-Dimensional Spheres and Hyperbolas
- thehangedman
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Undergrad Convention in parametric equation of parabola.
- vkash
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Graduate Christoffel Symbols - Gauge Fields
- tunafish
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Graduate What is the Name for the Linear Mapping f* and How is it Proven?
- yifli
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Graduate Calculating the killing vector fields for axial symmetry
- tut_einstein
- · Replies 7 ·
Graduate 4D knot theory, Reidemeister moves and movie representation
- mersecske
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Undergrad Calculating the dimensions of an arc
- kennethgilpin
- · Replies 5 ·
Graduate Symmetric Part of a Mixed (1,1) Tensor
- wgempel
- · Replies 2 ·
Graduate Relations of an affine space with R^n , and the construction of Euclidean space
- Lajka
- · Replies 10 ·
Graduate Determining the orientation of ellipsoids after 2 rotations
- lemonCBI
- · Replies 2 ·
Graduate Complement of a Handlebody also a Handlebody?
- Bacle
- · Replies 11 ·
Graduate Can embedding a manifold in a higher dimension space have drawbacks?
- TrickyDicky
- · Replies 19 ·
Graduate Local Trivialization in Covering Spaces
- Bacle
- · Replies 5 ·
Graduate Prove that diffeomorphisms are between manifolds with the same dimension
- feynman137
- · Replies 5 ·
Graduate Codimension k Stratum: A Manifold with Corners
- seydunas
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Undergrad Determine angle of intersecting lines inside a circle
- 2milehi
- · Replies 4 ·
Graduate Covariant derivative vs Gauge Covariant derivative
- lennyleonard
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Graduate How Does A Strain Tensor Transform?
- antarctic
- · Replies 1 ·
Graduate Is the Pushforward of a Lie Bracket the Lie Bracket of the Pushforwards?
- lethe
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Graduate Cup Product and Representability
- Jamma
- · Replies 34 ·
Graduate Converting cubic folium equation to alternative form
- bluemoon2188
- · Replies 2 ·
Graduate Expansion of the commutator of two vector fields
- tut_einstein
- · Replies 1 ·
Graduate Action of Lie Brackets on vector fields multiplied by functions
- tut_einstein
- · Replies 1 ·
Graduate Calculating Mass of a Subset in SO(n) Using Definite Integrals
- jimbo11
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Graduate Minimum parameters needed to specify a point on a curve
- TrickyDicky
- · Replies 12 ·
Graduate Why does Stokes' theorem give different results for γ in ℝ² vs ℝ³?
- Poopsilon
- · Replies 6 ·
Graduate Is a (smooth) manifold allowed to have different dimensions in different points.
- alemsalem
- · Replies 6 ·
Graduate Geometry of Physics: Study w/o Math Background? - Theodore Frankel
- ralqs
- · Replies 1 ·
Graduate Looking for Gauss-Bonnet counterexample
- Goklayeh
- · Replies 1 ·
Graduate Hyperbolic Function with Asymmetric Asymptotes
- hadron23
- · Replies 3 ·
Graduate Interpretiing the Dolbeault operators
- lavinia
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High School Finding radius given three points?
- nowayhosesay
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Graduate What Geometry Emerges from a Non-Standard Induced Connection?
- lavinia
- · Replies 4 ·
Graduate Symplectic Geometry: Learn, Understand & Expert Articles/Books
- Steven Wang
- · Replies 2 ·
Graduate What is the angle between star A, B, and C on the celestial sphere?
- tony873004
- · Replies 10 ·
Graduate What Sets Delta-Complexes Apart from Simplicial Complexes?
- ForMyThunder
- · Replies 3 ·
Graduate Solving Laplace's Equation with Covariant Derivative
- Nemesis_one
- · Replies 13 ·
High School (Hopefully)Very quick volume calculation question
- venomxx
- · Replies 2 ·
Graduate How Does Affine Geometry Define the Join of Subspaces?
- mma
- · Replies 2 ·
Undergrad Special integration of Sphere Volume
- TommyC
- · Replies 4 ·
Graduate Why is parabolic-Cartesian mapping 1-1 if two parabolas intersect at two points?
- mnb96
- · Replies 4 ·
Graduate First fundamental form and squared arc length element
- Vasileios
- · Replies 6 ·
Undergrad Tensor calculus book with derivations and proofs
- Curl
- · Replies 2 ·
Graduate Orthonormal basis => vanishing Riemann curvature tensor
- przemek
- · Replies 13 ·
Graduate Why does the normal direction to a level set use dy/dx = f_{,y}/f_{,x}?
- 7thSon
- · Replies 5 ·
Graduate How Can Differential Forms Be Used to Compute Areas and Volumes?
- zpconn
- · Replies 11 ·
Undergrad Height of 2m arc on cylinder with 4.99m diameter base
- m32dave
- · Replies 3 ·
Graduate Minimal Surface: Is X a Minimal Surface?
- Ms Mrmr
- · Replies 2 ·
Graduate Find a constrained equilateral inner triangle of a triangle
- fab672000
- · Replies 8 ·
Graduate How Do You Compute the Pullback of a Differential Form in Flanders' Text?
- masterfool
- · Replies 2 ·
Graduate Convexity in the real projective plane?
- klabautermann
- · Replies 2 ·
High School How to measure perimeter without pi?
- menniandscience
- · Replies 7 ·
Graduate Counter Intuitive result for Surface area of Helical Ribbon
- jonthebaptist
- · Replies 1 ·