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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Undergrad Place of Analytic geometry in modern undergraduate curriculum
- Bananeen
- · Replies 2 ·
Graduate Theorems every mathematician should know
- jgm340
- · Replies 83 ·
Undergrad Layperson asking about circle sides (Warning may not make sense)
- joebloggs
- · Replies 7 ·
Graduate How do we interpret the differential of a function on a smooth manifold?
- panzervlad
- · Replies 2 ·
Graduate Math Student Struggling with Griffiths Harris Algebraic Geometry
- Kalidor
- · Replies 13 ·
Graduate Gauss curvature formula and connection forms in Riemann surface proof
- lavinia
- · Replies 1 ·
Graduate Mathematician Wins Abel Prize for Exotic 7-Dimensional Spheres
- ATranPV
- · Replies 1 ·
High School Triangle and two circles theorem
- Delong
- · Replies 3 ·
Graduate Natural Metrics on (Special) Unitary groups.
- Kreizhn
- · Replies 2 ·
Graduate Gradient on U(N) giving complex values from real function
- Kreizhn
- · Replies 4 ·
Graduate Can Newton's method find minima with two n-dimensional vectors?
- EngWiPy
- · Replies 2 ·
Graduate What is the relationship between phase space and space-time?
- Loren Booda
- · Replies 1 ·
Graduate Proof that Fin.-Gen. Group G is Fund. Group of 2-Cell Complex
- Bacle
- · Replies 2 ·
Graduate Total absolute curvature of a compact surface
- Goklayeh
- · Replies 12 ·
Undergrad Finding slopes m1 and m2 for perpendicular tangents to an ellipse
- Michael_Light
- · Replies 1 ·
Graduate Finding 3D rotation and zoom from 2D corner coordinates
- tyrskyzz
- · Replies 1 ·
Graduate (anti)-symmetries of the Riemann curvature tensor
- quasar987
- · Replies 5 ·
Graduate Understanding Tangent Map Derivation in S.S. Chern's Ebook
- Sumanta
- · Replies 1 ·
Graduate What does it mean by a Riemannian metric on a vector bundle?
- petergreat
- · Replies 9 ·
Graduate Invariant Polynomials on complexified bundles with connection
- lavinia
- · Replies 0 ·
Graduate What is a typical fibre in a fibre bundle?
- RoboticMezon
- · Replies 7 ·
Graduate Theorema Egregium: Does Gauss's Theorem Generalize?
- lavinia
- · Replies 2 ·
Graduate Hypersurfaces of Euclidean space
- lavinia
- · Replies 1 ·
Graduate Why Does Parallel Transport on a Circle Cause Vector Field Rotation?
- murmillo
- · Replies 1 ·
Graduate Lie-algebraic elements as derivations.
- Kreizhn
- · Replies 1 ·
Graduate Eigenvalues of the Frenet formulas and angular velocity
- ForMyThunder
- · Replies 1 ·
Graduate What is the Acyclic Carrier Theorem and how can it be applied using chain maps?
- Socrates' Pen
- · Replies 2 ·
Graduate Quotient Map Theorem: Topology Induced by f
- ForMyThunder
- · Replies 5 ·
Is there any specific name for a coffee cup handle in mathematics?
- princy
- · Replies 10 ·
Graduate Radius of Ellipsoid with Known a,b,c and Phi, Theta
- WhyIsItSo
- · Replies 13 ·
Graduate Why only the zero category satisfies AB5 and AB5*
- jose80
- · Replies 1 ·
Graduate Is There a Theorem for Fibration Over R for Non-Compact Manifolds?
- holy_toaster
- · Replies 4 ·
Graduate How to express a circle in spherical coordinates
- TBTTyler
- · Replies 4 ·
Graduate Can 2-Spheres Exist in 2D Slices of 3D Space?
- TrickyDicky
- · Replies 7 ·
High School Naming Concentric Circles: What's the Best Approach?
- faiz4000
- · Replies 5 ·
Graduate Dual vector bundle E* is isomorphic to Hom(E, MXR)
- robforsub
- · Replies 4 ·
Undergrad Solve Manhattan Dist. Equation for 2D Line AB, Point C
- onako
- · Replies 1 ·
Undergrad Quaternions and rotation vector.
- pjhphysics
- · Replies 4 ·
Graduate How can 3D space expand and contract without a fourth dimension?
- Feeble Wonk
- · Replies 1 ·
Undergrad How Can a Grade 12 Student Progress to Advanced Geometry?
- mathsTKK
- · Replies 6 ·
Graduate New Model for Flocking Behavior: S. Motsch & E. Tadmor
- marcus
- · Replies 0 ·
Undergrad How Do You Apply the Intermediate Value Theorem to Various Intervals on a Graph?
- null(0)
- · Replies 1 ·
Graduate How Does Gauss Curvature Integral Relate to Holonomy in SO(2) Bundles?
- lavinia
- · Replies 0 ·
Undergrad Finding a second point on a circle
- chuckrussell
- · Replies 3 ·
Graduate Is this Matrix a Tensor, Pseudotensor, or Neither?
- Marthius
- · Replies 2 ·
Graduate Finding Convex Hulls in hyperbolic spaces
- Hyperbolful
- · Replies 4 ·
Graduate Caustic Curves and Dual Curves: Are They Different?
- mdoni
- · Replies 3 ·
Graduate What are the best books to learn topology and representation theory?
- linkedlister
- · Replies 11 ·
Graduate How to implement the arc length integral on a Riemannian manifold
- whattttt
- · Replies 1 ·
Graduate Can the integral of W^dV be interpreted as a linking number in projective space?
- lavinia
- · Replies 4 ·
Graduate What is the Physical Meaning of Circulation in Vector Fields?
- Curl
- · Replies 2 ·
Graduate How to Find the Length of a Circle on a Unit Sphere?
- whattttt
- · Replies 5 ·
Graduate Why are rotations composed multiplicatively rather than additively?
- Opus_723
- · Replies 1 ·
Graduate Prove quotient space of polygon with paired sides is compact
- sutupidmath
- · Replies 3 ·
Graduate Another proof that a vector field on the sphere must have a zero?
- lavinia
- · Replies 41 ·
Graduate How to Find the Length of a Circle on the Unit Sphere?
- whattttt
- · Replies 1 ·
Graduate Parametrizations and regular curves
- Buri
- · Replies 9 ·
Graduate Definition of the gradient operator
- elgen
- · Replies 2 ·
Graduate Show that there exists no sequence of functions satisfying the following
- poet_3000
- · Replies 3 ·
Graduate How to make a hodge dual with no metric, only volume form
- camel_jockey
- · Replies 3 ·
Graduate Understanding Knots in Higher Dimensions
- oldman
- · Replies 10 ·
Graduate Solve Geodesic Problem for f:[a,b] to R
- wii
- · Replies 3 ·
Graduate Interior and closure in standard and finite complement topologies
- Damascus Road
- · Replies 4 ·
Graduate What is the intuitive explanation for the homology of S^3\knot?
- pp31
- · Replies 2 ·
Graduate Euclidean Killing Field Question
- Kreizhn
- · Replies 1 ·
Graduate What metric on R² preserves distances under the tangent mapping?
- whattttt
- · Replies 2 ·
Graduate Convergence in the product and box topology
- calvin22
- · Replies 1 ·
Undergrad What Does Preserving Distance Mean in Metric Mapping?
- whattttt
- · Replies 2 ·
Graduate Proving Measure Zero for Set A Derived from Real Numbers Set E
- arvindam
- · Replies 3 ·
Graduate Homeomorphism classes of compact 3-manifolds
- pp31
- · Replies 2 ·
Graduate Compactness in Metric Spaces: Is It Possible?
- Bleys
- · Replies 2 ·
Undergrad Is Geometry a Branch of Physics?
- pmb_phy
- · Replies 49 ·
Graduate Why no trigonometric functions for ellipses
- JyN
- · Replies 6 ·
Graduate Why is the lower limit topology strictly finer than the standard topology?
- princy
- · Replies 6 ·
Graduate Compactness of Tangent Bundle: Manifold M
- math6
- · Replies 9 ·
Graduate Relationship between radius of curvature and slope
- bpcraig
- · Replies 5 ·
Undergrad Graphing θ=π/4 in Polar Coordinates
- shayaan_musta
- · Replies 6 ·
Graduate How can I show that the Lie bracket is not a connection?
- wii
- · Replies 8 ·
Graduate Why does removing a submanifold of codim 2 preserve connectivity?
- HMY
- · Replies 7 ·
Undergrad Closest approach of line segments
- Lindley
- · Replies 2 ·
Graduate How to Compute r in Stereographic Projection from R^4 to R^3?
- whattttt
- · Replies 3 ·
Graduate Find Shortest Distance to Point on Ellipsoid
- golmschenk
- · Replies 2 ·
Graduate Intersection of plane in spherical coordinate system
- foruforewer
- · Replies 1 ·
Graduate S^5 Sphere: Visualizing and Understanding
- yola
- · Replies 4 ·
Graduate Complex-valued functions on a compact Hausdorff space.
- Fredrik
- · Replies 24 ·
Undergrad Geometric construction of the square root
- JeremyEbert
- · Replies 4 ·
Graduate Topology (specifically homotopy) question
- timboj2008
- · Replies 3 ·
Graduate Coordinate basis vs local frame?
- pellman
- · Replies 2 ·
Graduate Harmonic forms on resolved toric calabi yau spaces
- wodhas
- · Replies 1 ·
Graduate If T has finite rank, does T* have finite rank?
- Fredrik
- · Replies 14 ·
Graduate Is Bott & Tu's Differential Forms in Algebraic Topology suitable after Munkres?
- petergreat
- · Replies 5 ·
Graduate Proving the mapping (x/(x²+y²), y/(x²+y²)) is a diffeomorphism
- whattttt
- · Replies 9 ·
Graduate Solve that without 4th order polynomial?
- Gerenuk
- · Replies 9 ·
Graduate Perspective sketches from 4D to 3D?
- Curl
- · Replies 2 ·
Undergrad What is the angle between a disc and a vertical surface?
- con20or
- · Replies 1 ·
Graduate Compact n-manifolds as Compactifications of R^n
- Bacle
- · Replies 4 ·
Graduate Del operator with coordinate transformations
- Curl
- · Replies 7 ·
Graduate Confusion on the definition of a quotient map
- Esran
- · Replies 2 ·
Graduate How do symplectic manifolds describe kinematics/dynamics ?
- camel_jockey
- · Replies 3 ·
Graduate What is the meaning of C^r-close in topological terms?
- quasar987
- · Replies 2 ·