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 Problems understanding headings for 3d rays
- cam875
- · Replies 17 ·
Undergrad Does the Axis of a Cone Cross Through a Focus of an Ellipse?
- TheFerruccio
- · Replies 3 ·
Graduate Discrete topology, product topology
- mathsss2
- · Replies 5 ·
Graduate Constructible sets contain a dense open subset of their closure
- Hello Kitty
- · Replies 6 ·
Undergrad How Many Points Can Be Observed Simultaneously on a Sphere?
- Loren Booda
- · Replies 1 ·
How long would it take to read euclid's elements?
- khemix
- · Replies 6 ·
Find coordinates of a point given angle, distance and first point
- gistech123
- · Replies 3 ·
Graduate How Do We Show Integral Unity of Transformed Functions?
- hnh
- · Replies 2 ·
Graduate Prove the standard simplex is convex
- Shaad
- · Replies 1 ·
Undergrad How is the Mandelbrot set plotted and how are the color values determined?
- rohanprabhu
- · Replies 4 ·
Undergrad Creating a sphere from a spline curve
- SilverTiger
- · Replies 1 ·
Graduate Finding the Radius of Curvature for a Helix: What is the Formula?
- Jonny_trigonometry
- · Replies 9 ·
Graduate Geodesic Curves Covering Surfaces
- maze
- · Replies 36 ·
Graduate Employment areas with PhD in Pure Maths?
- pp31
- · Replies 3 ·
Undergrad Triangular Obelisk: Calculate Angle & Height
- markmdesigns
- · Replies 2 ·
Graduate Proving sequential compactness implies total boundedness for metric spaces
- Ja4Coltrane
- · Replies 2 ·
Graduate How to Prove Incompleteness and Completion in Metric Spaces?
- GreenBeret
- · Replies 2 ·
Graduate Null hypersurfaces with geodesic normals and the geodesic equation
- hamjam9
- · Replies 1 ·
Graduate How does the de Rham theorem relate to homotopy and conservative fields?
- fisico30
- · Replies 1 ·
Graduate SL(2,R)/SO(2,r)=H^2(2-dim hyperbolic space)
- memomath
- · Replies 1 ·
Graduate Dyadic Product and Index of Refraction
- Manuel_Silvio
- · Replies 4 ·
Graduate How Do Riemannian Connections Work on Non-Flat Manifolds?
- WWGD
- · Replies 4 ·
Graduate How does a fibre bundle differ from base space X typical fibre?
- pellman
- · Replies 8 ·
Undergrad What is parametrization of a function with more than one parameter?
- soandos
- · Replies 21 ·
Graduate Accumulated rotation over time
- DanielKO
- · Replies 7 ·
Graduate Applied geometry: symmetry within a 3D volume
- DaveC426913
- · Replies 3 ·
Graduate S^n not a mapping cylinder. S^n and homeom. subspaces
- WWGD
- · Replies 0 ·
Graduate Taking the Trace of a Tensor Product
- JasonJo
- · Replies 8 ·
Graduate Transformations involving singular points
- SW VandeCarr
- · Replies 2 ·
Undergrad Create plane from 3 points and distance from plane to point
- Mar10n
- · Replies 5 ·
Graduate Circles in Non-Euclidean Geometry
- ƒ(x)
- · Replies 5 ·
Graduate Tangent bundle definition: point with tangent space or with vector?
- pellman
- · Replies 4 ·
Graduate Sample Topological Spaces: X,t,G,F
- cothranaimeel
- · Replies 1 ·
High School What's the Next Step After Plane Geometry in High School?
- khemix
- · Replies 5 ·
Undergrad What is the tensor product and what are good elementary tensor algebra books?
- SeReNiTy
- · Replies 14 ·
Graduate A problem about integral curves on a manifold
- quasar987
- · Replies 1 ·
Graduate What Defines a One-Form in Multivariable Calculus and Differential Geometry?
- pellman
- · Replies 4 ·
Graduate Lie bracket of tangent vectors on embedded vs induced metric
- ruwn
- · Replies 1 ·
Undergrad What Are the Best Books to Learn About Fractals?
- NoSolution
- · Replies 3 ·
Graduate What Is the Usual Metric on the Sphere That do Carmo Doesn't Mention?
- InbredDummy
- · Replies 2 ·
Graduate Structure constants for the Lorentz group
- bartadam
- · Replies 6 ·
Graduate Sphere Radius = 1 centered at origin
- Philosophaie
- · Replies 3 ·
Graduate The topology of rational numbers: connected sets
- alligatorman
- · Replies 2 ·
Graduate Is K Open or Closed? A Topology GRE Question
- ralphhumacho
- · Replies 12 ·
Graduate Distance between polygons in 3d? (points of contact as a function of time)
- Requerent
- · Replies 4 ·
Undergrad How to Convert Spherical Coordinates to Cartesian Coordinates in an Equation?
- Philosophaie
- · Replies 1 ·
Undergrad What Is the Equation of a Sphere in Spherical Coordinates?
- Philosophaie
- · Replies 1 ·
Graduate How to Rotate a Vector in Different Coordinate Spaces?
- ronslow
- · Replies 2 ·
Graduate Partitions of unity: support of a function
- xaos
- · Replies 2 ·
Undergrad Can I study topology without taking multivariable calculus?
- Gramsci
- · Replies 10 ·
Graduate Tensor Indices Switch with Infinitesimals and Space-Time Derivatives
- waht
- · Replies 2 ·
Graduate Why does stereographic projection preserve angles but not area?
- dori1123
- · Replies 1 ·
Undergrad Hello How to prove the min function is continuous?
- simpleeyelid
- · Replies 3 ·
Graduate Differential geometry in quantum mechanics - conserved quantities
- quasar_4
- · Replies 1 ·
Graduate Torus generated by rotating a circle around a cone's axis
- ejhong
- · Replies 1 ·
Graduate How Do Completely Regular Hausdorff Spaces Relate to Compact Hausdorff Spaces?
- aliceinwonder
- · Replies 3 ·
Graduate How does one calculate the distance (or length) on the ground
- Pollock
- · Replies 3 ·
Undergrad Area between two eccentric circles
- agordon
- · Replies 1 ·
Graduate Proving \alpha^i = v x^i on tangent vector space T_pM"
- QuarkHead
- · Replies 4 ·
Undergrad Why is noise always assumed to be Gaussian in noise-based applications?
- csaspp
- · Replies 6 ·
Graduate Area section of a sphere used for integration?
- xerxes73
- · Replies 1 ·
Graduate Degree of continuous map from circle to circle
- jimisrv
- · Replies 1 ·
Graduate What are the real-world implications of tangent vectors to a manifold?
- Goldbeetle
- · Replies 32 ·
Graduate Something I read somewhere about Spin manifolds, I don't remember where?
- Jim Kata
- · Replies 1 ·
Graduate Elementary questions about fibre bundles
- haushofer
- · Replies 5 ·
Graduate Space filling curves: two and a half questions
- Bob3141592
- · Replies 2 ·
High School How can a highschool student study the nonuclidean geometry himself ?
- ahoura
- · Replies 5 ·
Graduate Projective Space: CP1, Homeomorphism to 2-Sphere?
- Thorn
- · Replies 1 ·
Undergrad Signed angle between two 3D vectors
- cakeathon
- · Replies 5 ·
Graduate How Do Tensor and Wedge Products Relate in Differential Geometry?
- cristo
- · Replies 32 ·
Graduate A question of the complete metric space
- simpleeyelid
- · Replies 4 ·
High School Do trapezium angles have to equal 360 degrees?
- vmgk
- · Replies 6 ·
Graduate Missing g^{-1} factor in Nakahara Laplacian calculation
- haushofer
- · Replies 2 ·
Graduate What Is the Easiest Topology Textbook?
- Unassuming
- · Replies 3 ·
Graduate Why is the cusp not a submanifold?
- quasar987
- · Replies 7 ·
Graduate Topological transform of singular points?
- SW VandeCarr
- · Replies 1 ·
Undergrad Is differential geometry worth studying for theoretical physics?
- Ulagatin
- · Replies 13 ·
Graduate Ricci-Tensor from Riemann in higher dimensional flat space
- wildemar
- · Replies 4 ·
Undergrad How Do You Perform a 90 Degree Rotation of a Complex Number Around a Point?
- chaotixmonjuish
- · Replies 8 ·
High School Proving Congruence of Line AE and BD
- Taylorrr8394
- · Replies 5 ·
Graduate Banach Space that is NOT Hilbert
- Old Guy
- · Replies 11 ·
Graduate van Kampen theorem with simply connected spaces and two path components
- MathematicalPhysicist
- · Replies 1 ·
High School Proving the exterior angle bisector property for triangles
- Chemistry101
- · Replies 1 ·
Graduate Proving C(X) is a Banach Space for Compact Hausdorff X
- jostpuur
- · Replies 6 ·
Graduate Can Trilateration Determine the Angle in a Dynamic Circle Problem?
- lzh
- · Replies 2 ·
Graduate Proving Simple Connectedness: Intersection and Union of Two Spaces
- MathematicalPhysicist
- · Replies 9 ·
Graduate Nontriviality of the Möbius bundle without orientability
- quasar987
- · Replies 2 ·
Graduate What is the relationship between open and dense sets in R^n?
- MathematicalPhysicist
- · Replies 7 ·
Graduate Is the product of two open sets open?
- Thorn
- · Replies 1 ·
Graduate Where did the error occur in calculating the Lie derivative using an example?
- jostpuur
- · Replies 2 ·
Undergrad Questions regarding function operations on sets.
- Esran
- · Replies 2 ·
Graduate Connected components of a manifold
- quasar987
- · Replies 3 ·
Undergrad Finding Irreducible Basic Fractions with Denominator n
- s_chaursia
- · Replies 2 ·
Graduate Action of Clifford-elements on vectors & spinors
- blue2script
- · Replies 1 ·
Undergrad Calculate Smallest Bounding Rectangle Area - Cartesian Coordinates Program
- s_chaursia
- · Replies 1 ·
High School Solving Hari Prasad Misra's Staircase Problem with Max 2 Steps
- s_chaursia
- · Replies 1 ·
Graduate How Do Torsion Concepts Differ in Algebra and Differential Geometry?
- navigator
- · Replies 1 ·
Graduate What are the 'closed geodesic' ?
- mhill
- · Replies 6 ·
Undergrad Get Polygon Side Length From Radius
- therealdrag0
- · Replies 2 ·
Graduate What Are Differential Forms and How Do They Apply in Differential Geometry?
- lethe
- · Replies 120 ·