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 Volume of cylinder with a 45 degree branch
- j.laland
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Graduate Working with the inverses of composite functions
- Esran
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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
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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
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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 Why topological equivalence doesn't imply conformal equivalence for tori
- 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 Geometric proof that ellipse definitions are equivalent
- 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
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Graduate Form of line element of a torus.
- arroy_0205
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Graduate Simple connectivity and finite coverings
- cduston
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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
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Graduate Can the homotopy extension property fail on certain pairs of spaces?
- alyscia
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Graduate What exactly are n-cells and how do you build CW complexes inductively?
- alyscia
- · Replies 1 ·
Graduate Concrete example of the smash product of topological spaces
- alyscia
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Graduate Divergence of mixed II-order tensors
- enzomarino
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Graduate Can we draw an infinite equilateral triangle on a negatively curved surface?
- 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 Why do RP² and CP have different stereographic 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
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Graduate How to Parametrize a 3D Circle and Find the Closest Point?
- rod bryant
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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 Are GL(n;ℝ) matrices with positive and negative determinants homeomorphic?
- 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 How does set B appear in the power map definition?
- pmb_phy
- · Replies 3 ·
Graduate The Wildest point on an ellipse
- Diffy
- · Replies 4 ·