Join experts in discussing differential geometry topics. This includes manifolds, Tensors and forms. Connections and curvature also. Differential and algebraic topology discussion.
Threads
Graduate Working with the inverses of composite functions
- Esran
- · Replies 4 ·
Graduate Can every isometry in the plane be composed of at most three reflections?
- MathematicalPhysicist
- · Replies 19 ·
Undergrad An obtuse triangle and its circumcenter
- chaotixmonjuish
- · Replies 2 ·
Graduate How Do Basis and Topology Definitions Interact in Set Theory?
- Diffy
- · Replies 7 ·
Graduate Differential Geometry: Show Regular Curve is Invertible
- whynothis
- · Replies 2 ·
Graduate Finding new major axis of ellipse after stretching along arbitrary axis
- Keys
- · Replies 4 ·
Graduate How Can I Define a Topology on N with Exactly k Limit Points?
- nikki.arm
- · Replies 2 ·
Graduate The universal property characterizing the quotient topology
- quasar987
- · Replies 19 ·
Graduate Comma notation in tensor expression?
- Peeter
- · Replies 4 ·
Undergrad What Kind of Triangle is ABC in a Square with an Isosceles Triangle?
- chaotixmonjuish
- · Replies 2 ·
Undergrad A small rectangle on a large ball - distortion?
- gerbil
- · Replies 1 ·
Undergrad Need Help Understanding Cycloid Rolling vs Slipping
- shoushou
- · Replies 1 ·
Graduate Analogy between vectors and covectors
- atyy
- · Replies 9 ·
Undergrad Plotting the naval territory of a country
- jbunten
- · Replies 4 ·
High School Do Four Points Define a Hyperplane or Extend Beyond?
- redretro
- · Replies 1 ·
Graduate Formal definitions of cutting and pasting etc
- navigator
- · Replies 5 ·
Graduate Visualising calabi yau manifolds
- SmirkingMan
- · Replies 2 ·
Graduate Is the Finite Cartesian Product of Simply Connected Sets Also Simply Connected?
- jimisrv
- · Replies 1 ·
High School Can you have a curved line without a plane?
- Pjpic
- · Replies 14 ·
Graduate Understanding Functional Determinants in Mathematics
- Klaus_Hoffmann
- · Replies 5 ·
Graduate What is the equation for a möbius strip with a constant bend?
- Alfi
- · Replies 6 ·
Graduate How Do You Calculate the Trace of an Arbitrary Tensor?
- JasonJo
- · Replies 5 ·
Graduate Degree of a Map: Directly Proving k is Degree of f
- wineesarne
- · Replies 1 ·
Graduate Integrating a 2-form on a 2-cube
- quasar987
- · Replies 2 ·
Graduate Conformal Equivalence: Help with Penrose's Road to Reality
- harshant
- · Replies 9 ·
Graduate What is the Definition of 'Cos' in Hyperbolic Geometry?
- Mentz114
- · Replies 8 ·
Graduate How Do Covariant and Contravariant Vectors Differ in Tensor Calculus?
- maze
- · Replies 26 ·
Graduate Conservative vector field; classification of derivative
- Prz
- · Replies 1 ·
Undergrad Gradient in spherical coordinates problem
- Theoretiker
- · Replies 3 ·
Graduate Ellipse: geometric equivalence of two definitions
- lemma28
- · Replies 10 ·
Graduate Orientability and Diffeomorphisms of Manifolds
- MathematicalPhysicist
- · Replies 3 ·
Graduate Can Sard's Theorem Confirm Submanifolds as Measure Zero?
- MathematicalPhysicist
- · Replies 1 ·
Graduate Visualizing left action of SO(3) on itself
- mma
- · Replies 5 ·
Undergrad How to Calculate surface width of a 3d object intersected at an angle?
- jimtyp
- · Replies 8 ·
Graduate Total Derivative in Curvilinear Coordinates
- Päällikkö
- · Replies 6 ·
Undergrad Tensor operations and properties
- Marin
- · Replies 3 ·
Graduate Transforming Index to Matrix Form for Amateurs
- Marin
- · Replies 11 ·
Graduate Cylindrical section is an ellipse?
- uman
- · Replies 4 ·
Graduate Covariant vectors vs reciprocal vectors
- ForMyThunder
- · Replies 1 ·
Graduate Produce Scalar from Tensor: What's the Name?
- snoopies622
- · Replies 9 ·
Graduate Indices in differential geometry
- Cincinnatus
- · Replies 4 ·
Graduate Hyperbolic Circle <=> Euclidean Circle.
- MathematicalPhysicist
- · Replies 1 ·
Graduate Hyperbolic Distance and double Cross Ratio.
- MathematicalPhysicist
- · Replies 1 ·
Graduate Finding the Point That Divides an Interval in Hyperbolic Geometry
- MathematicalPhysicist
- · Replies 20 ·
Graduate The Exterior Covariant Derivative: Understanding Connections and Fibre Bundles
- matness
- · Replies 3 ·
Graduate Vanishing measure of a set with codimenon 2
- cduston
- · Replies 2 ·
Graduate Show that there is no immersion of S^n into R^n
- hadi amiri 4
- · Replies 2 ·
Graduate Is the Inverse Jacobian used to Transform Flat Space into Curved Space?
- friend
- · Replies 1 ·
Graduate Dimension of a topological space
- matness
- · Replies 14 ·
Graduate Form of line element of a torus.
- arroy_0205
- · Replies 8 ·
Graduate Simple connectivity and finite coverings
- cduston
- · Replies 4 ·
Undergrad How Do You Determine the Axis of a Helix?
- ziggy
- · Replies 15 ·
Undergrad How to Calculate a Circle's Equation in 3D Space?
- dehseth
- · Replies 3 ·
Graduate Can the homotopy extension property fail on certain pairs of spaces?
- alyscia
- · Replies 1 ·
Graduate Guide to CW Complexes and n-Cells
- alyscia
- · Replies 1 ·
Graduate Understanding the Smash Product of Two Topological Spaces
- alyscia
- · Replies 1 ·
Graduate Divergence of mixed II-order tensors
- enzomarino
- · Replies 1 ·
Graduate Negative Curvature: Can We Draw an Infinite Triangle?
- randa177
- · Replies 14 ·
Graduate Gaining Intuitive Understanding of Parallel Transporting Tensors
- snoopies622
- · Replies 14 ·
Graduate About the implicit function theorem
- quasar987
- · Replies 2 ·
Graduate Can Geodesic Surfaces Minimize Area Like Curves Minimize Length?
- mhill
- · Replies 2 ·
Graduate What are the main considerations when defining a smooth manifold?
- MathematicalPhysicist
- · Replies 1 ·
Graduate Revolving around a sphere helically?
- ManDay
- · Replies 4 ·
Graduate RP^2 vs CP: Comparing Stenographic Representations
- Icosahedron
- · Replies 6 ·
Undergrad 3D Points on Surface of a Pipe (Disk)
- domls
- · Replies 11 ·
Graduate How Can I Create a Diagrammatic Notation Editor for Penrose's Notation?
- Shaun Culver
- · Replies 5 ·
Graduate Understanding Normal One-Forms for Plane x=0
- Mmmm
- · Replies 1 ·
Undergrad How do you do vector addition in cylindrical coordinates?
- yungman
- · Replies 2 ·
Graduate How to Parametrize a 3D Circle and Find the Closest Point?
- rod bryant
- · Replies 5 ·
Graduate Can the Noether current be derived from the electrodynamic Lagrangian?
- haushofer
- · Replies 4 ·
Graduate Parallelizability vs. hairy ball theorem
- mma
- · Replies 27 ·
Graduate Gaussian Curvature of (x^2+y^2+1)^-2
- foxjwill
- · Replies 1 ·
Graduate Extending a transformation from a curve to the whole space
- maze
- · Replies 4 ·
Graduate Spherical Harmonic Integration
- onlyk
- · Replies 1 ·
Graduate To transform from flat to curved space
- friend
- · Replies 6 ·
Graduate Can a subset of R^n have multiple centres of symmetry?
- MathematicalPhysicist
- · Replies 1 ·
Graduate Intuition for Covariant derivative of a Tensor Field
- maze
- · Replies 9 ·
Graduate Coordinates adapted to two vector fields
- smallphi
- · Replies 4 ·
Graduate Hilbert Manifolds: An Infinite Dimensional Analogy to Smooth Manifolds?
- Cincinnatus
- · Replies 4 ·
Graduate What Are the Kissing Numbers for Different Sized Spheres in 3D?
- jal
- · Replies 1 ·
Graduate Understanding Tensor Operations: From Multilinear Mappings to Vector Spaces
- matheinste
- · Replies 9 ·
Graduate Is m a finitely generated ideal over C^{\infty}(M)?
- neworder1
- · Replies 8 ·
High School What is a Fractal? A 10th Grade Explanation
- Verblun
- · Replies 1 ·
Graduate How Does a Function on Manifolds Change When Transferred from M to N?
- Icosahedron
- · Replies 4 ·
Graduate Where is the Centroid of a Moebius Strip? [SOLVED]
- kureta
- · Replies 1 ·
Graduate Topology Question:Connected Components
- jimisrv
- · Replies 1 ·
Graduate Showing SO(3) Subset is Projective Plane Diffeomorphic
- Xang
- · Replies 2 ·
Graduate Are vector bundles principal bundles?
- mma
- · Replies 14 ·
Graduate Does Every Coordinate System Admit Local Othornormal Basis Vectors
- friend
- · Replies 5 ·
Graduate Foliation, fibration, fiber bundle?
- jojoo
- · Replies 1 ·
Graduate How to find rotation parameter in sphere?
- rahman_f_t
- · Replies 2 ·
Graduate Topology Question: Continuous Functions and Simply Connected Subsets
- jimisrv
- · Replies 6 ·
Graduate Manifolds / Lie Groups - confusing notation
- GSpeight
- · Replies 22 ·
Graduate Proof of Quotient Map Q: A -> R for Exam Review
- MathematicalPhysicist
- · Replies 3 ·
Graduate Prove Homeomorphism of {A in GL(n;R) | det(A)>0 & det(A)<0}
- rifat
- · Replies 4 ·
Graduate Are Diffeomorphic Manifolds Sharing a Unique Property?
- WWGD
- · Replies 22 ·
Graduate What is the solution to the geodesic equation for a torus?
- the shadow
- · Replies 14 ·
Graduate Understanding the Power Map in Tensor Analysis: Bishop and Goldberg Page 6
- pmb_phy
- · Replies 3 ·
Graduate The Wildest point on an ellipse
- Diffy
- · Replies 4 ·
Graduate Diagrammatic Notation for Tensors: Worthwhile Learning?
- Eidos
- · Replies 1 ·