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 Inverse function theorem for surface mappings
- 7thSon
- · Replies 23 ·
Graduate How to find a homotopy between two maps?
- kakarotyjn
- · Replies 12 ·
Graduate F=R/2 Derivation for Parabolic Approximation near Vertex
- azaharak
- · Replies 1 ·
Graduate Relationship betwen homotopy groups?
- quasar987
- · Replies 8 ·
Graduate Graphs, embeddings and dimensions
- tom.stoer
- · Replies 6 ·
Graduate Problem With Explanation of Inner Product of Vector and Dyad
- marschmellow
- · Replies 4 ·
Undergrad Determining Angle wrt to normal of a curved surface
- chlorine addi
- · Replies 1 ·
Graduate How to judge whether a space has the fixed-point property?
- kakarotyjn
- · Replies 2 ·
Graduate Is it possible to express any planar transformation in terms of rotation?
- priyansh
- · Replies 9 ·
Graduate Projection of the co-derivative = co-derivative of the projection ?
- plasticfloor
- · Replies 1 ·
Graduate Why is the partial derivative of a relative scalar field not always zero?
- Nick R
- · Replies 4 ·
Graduate Definition of Curl. Can anyone derive the gradient operator?
- Curl
- · Replies 5 ·
Graduate How Do You Convert Complex Tensor Notation to Vector Notation?
- lostidentity
- · Replies 5 ·
Undergrad Why Is D So Large in My Plane Equation?
- p1ayaone1
- · Replies 3 ·
Graduate Extending Trivializations and Structure Groups
- Bacle
- · Replies 1 ·
Graduate How Many Continuous and Open Mappings Exist Between Discrete Topological Spaces?
- radou
- · Replies 2 ·
Graduate How to construct a map from S^2 to RP^2 with covering time being unity?
- wdlang
- · Replies 8 ·
Graduate Countable Base and Subcover: A Topological Conundrum?
- wayneckm
- · Replies 8 ·
Graduate Why is the Morse index 0 at minimum and maximum critical points?
- daishin
- · Replies 4 ·
Graduate Hilbert's theorem and the pseudosphere
- diegzumillo
- · Replies 1 ·
Graduate Is the Graph of a Continuous Function Closed if the Spaces are T2 and T1?
- radou
- · Replies 4 ·
Undergrad Mobius Strip? What's all the fuss about?
- Swapnil
- · Replies 14 ·
Graduate Why do people define affine space as having no origin?
- pmb_phy
- · Replies 36 ·
Graduate Calculating the Volume Between Three Surfaces: Is My Approach Correct?
- nejla
- · Replies 2 ·
Graduate What is the difference between the two definitions of a neighborhood?
- wayneckm
- · Replies 6 ·
Graduate Diam A = diam Cl(A) in metric space
- radou
- · Replies 6 ·
Graduate Example of a differentiable structure on R
- mordechai9
- · Replies 5 ·
Graduate Finding the Interior and Closure of Sets in a Topological Space
- radou
- · Replies 13 ·
Graduate Can Lie Algebraic Decomposition Simplify Matrix Exponentials in \mathfrak{U}(N)?
- Kreizhn
- · Replies 4 ·
Graduate Square with edges, cube with faces identified.
- Spinnor
- · Replies 1 ·
Graduate How to Determine Ellipse Axes from Cone Geometry?
- femas
- · Replies 3 ·
Undergrad Align 3d object to vector by rotation
- jschieck
- · Replies 1 ·
High School Is Curve S One-Dimensional or Two-Dimensional?
- kini.Amith
- · Replies 8 ·
Graduate SO(3) as a quotient group of SU(2)?
- wdlang
- · Replies 3 ·
Undergrad The volume of a spherical cap by integrating and using Cartesian coordinates
- nejla
- · Replies 2 ·
Graduate Fixed Point Theory: Functional Analysis, Random Operators & Measurable Functions
- adnan jahan
- · Replies 1 ·
Graduate What is the tensor rank of pressure?
- Ahsan Khan
- · Replies 10 ·
Graduate Number of irreducible components of a variety
- GargleBlast42
- · Replies 2 ·
Graduate Construction of Reeb Graph for Critical Points on Contours
- Lutas
- · Replies 1 ·
High School Configuration centered at the origin
- onako
- · Replies 2 ·
Graduate Deriving Solid Angle Formulation from Definition
- mnb96
- · Replies 3 ·
Undergrad Obvious question on angles and solid-angles
- mnb96
- · Replies 1 ·
Graduate Are products of closed sets closed in the product topology?
- facenian
- · Replies 4 ·
What Is the History of the Ortocrone Group?
- ber70
- · Replies 3 ·
Graduate Jacobian and the dimension of a variety
- GargleBlast42
- · Replies 1 ·
Graduate What Is the Difference Between Ricci-Named Objects in Kahler Geometry?
- OB1
- · Replies 2 ·
High School How many faces share an edge with one face on a cube?
- Helicobacter
- · Replies 6 ·
Graduate What is the significance of the tautological line bundle in twistor theory?
- chrispb
- · Replies 8 ·
Graduate Difference between SO(3) and so(3)
- priyansh
- · Replies 6 ·
Undergrad Mathematical relationship to control camera heading
- naser1234
- · Replies 3 ·
Graduate What is the elegant proof of this 2006 Math Olympiad question?
- lark
- · Replies 1 ·
Graduate Smallest Set Containing All n-point Sets
- jgm340
- · Replies 2 ·
Graduate Would an energy diffraction ring in five space form a Minkowski space?
- TCS
- · Replies 2 ·
Graduate Vector projection in non-orthogonal coordinates
- 7thSon
- · Replies 5 ·
Graduate Are Electromagnetic Fields Considered Spinors in Geometric Algebra?
- Tomsk
- · Replies 3 ·
Graduate Curvature and Tangential angle
- ForMyThunder
- · Replies 2 ·
Undergrad How Do You Calculate Arc Points for Collision Detection in 3D Space?
- jschieck
- · Replies 1 ·
Graduate Why is r/2 used in the proof for one point set being closed?
- radou
- · Replies 6 ·
Graduate Hausdorff condition in differential manifold definition
- Goldbeetle
- · Replies 2 ·
High School Why is the sum of face angles at a vertex less than 2π in regular polyhedra?
- Tedjn
- · Replies 2 ·
Graduate Criteria for extension to cts fn between metric spaces?
- some_dude
- · Replies 3 ·
Undergrad Calculating Perspective Precedence in 3D Space
- ricardoainati
- · Replies 1 ·
Undergrad Latitude-longitude coordinate range given radius
- moonman239
- · Replies 1 ·
Undergrad Solve 3 Points on a Line: Point C 0.5 AC from A to B
- onako
- · Replies 8 ·
Graduate Tensor calculus for general relativity
- Wenderness
- · Replies 6 ·
Graduate How is the topology of C^n defined by an isometry to R^(2n)?
- facenian
- · Replies 2 ·
Graduate Bending of manifold and coordinate change
- 01030312
- · Replies 8 ·
Graduate Lie derivative and vector field notion.
- 01030312
- · Replies 1 ·
Undergrad Why isn't the volume of a pyramid Bh/2?
- Ryker
- · Replies 4 ·
Graduate Complete C[a,b] Function Space - Kreyszig
- bolzano
- · Replies 7 ·
Graduate Compact sets in Hausdorff space are closed
- mordechai9
- · Replies 4 ·
Graduate Proving the Open Sets Theorem for Metric Spaces
- Buri
- · Replies 7 ·
Undergrad Rotation matrix for azimuth and zenith angles
- lightningbolt
- · Replies 3 ·
Graduate Tesseract with Time as Fourth Dimension
- Charlie G
- · Replies 13 ·
Graduate The homotopy group of the projected space DP1
- wdlang
- · Replies 1 ·
Graduate How Is the Center of SU(2) Related to the Fundamental Group of SO(3)?
- Jim Kata
- · Replies 4 ·
Graduate Classifying Bundles; Fixed Base and Fiber
- Bacle
- · Replies 7 ·
Graduate Why the basis of the tangent space of a manifold is some partials?
- wdlang
- · Replies 13 ·
Graduate Coordinate transformations question
- danhumphreys
- · Replies 5 ·
Graduate Formalizing continuity of a map between metric spaces
- mnb96
- · Replies 5 ·
Graduate How Do Orientations Affect Total Flow into a Tetrahedron?
- TopCat
- · Replies 1 ·
High School Finding the Local Maxima of a Constant Function
- zuriat2244
- · Replies 1 ·
Graduate Do Vectors Remain Invariant and What Defines Tensor Rank?
- TupoyVolk
- · Replies 3 ·
Graduate Why do differential forms commute in physics but anticommute in mathematics?
- Manicwhale
- · Replies 29 ·
Graduate Can Two Spaces Be Homeomorphic If No Continuous Surjective Function Exists?
- beetle2
- · Replies 21 ·
Graduate Ywhere \phi^X_t is the flow of X.
- RedX
- · Replies 7 ·
Graduate Diagrammatic Tensor Notation from the Beginning
- LukeD
- · Replies 26 ·
Graduate Efficient Computation of Complex Polygon Areas?
- SonyAD
- · Replies 2 ·
Graduate Torsion, affine development and Levi-Civita connection
- mma
- · Replies 7 ·
Graduate Converting Frenet TNB Coordinates to Cylindrical Coordinates
- caejournal
- · Replies 1 ·
High School How is the dimension of a surface defined?
- Red_CCF
- · Replies 3 ·
High School Cross sectional area (NOT A QUESTION)
- moonman239
- · Replies 3 ·
High School What Is the Formula for Connecting Dots in a Circle?
- pinkshoegirl
- · Replies 8 ·
Graduate What Are the Functions and Applications of the Lie Derivative?
- Terilien
- · Replies 35 ·
Graduate Coordinate independence of Lie derivative
- st0ck
- · Replies 4 ·
Graduate Show that every map(maybe continuous)
- Stiger
- · Replies 3 ·
Graduate What would this open set in R look like?
- lunde
- · Replies 4 ·
Graduate How to Prove Inequality for Equivalent Distances?
- mnb96
- · Replies 2 ·
Graduate What Are the Properties of Norms Satisfying the Reverse Triangle Inequality?
- Office_Shredder
- · Replies 2 ·
Graduate A paradox about Maupertuis' principle (symplectic viewpoint)
- mma
- · Replies 3 ·