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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What Is the Optimal Geometry for a Concrete Column Supporting 1250 Tonnes?
- Dethrone
- · Replies 1 ·
Graduate Why is there maximally 1/2 n(n+1) killing vectors?
- center o bass
- · Replies 1 ·
Graduate Riemannian curvature of maximally symmetric spaces
- center o bass
- · Replies 3 ·
Graduate Real Vector Space: Is Addition & Scalar Multiplication Smooth?
- Geometry_dude
- · Replies 4 ·
Graduate Push Forward on a Product Manifold.
- andresB
- · Replies 4 ·
Graduate Factor 1/2 in the Curvature Two-form of a Connection Principal Bundle
- center o bass
- · Replies 5 ·
Graduate Extended plane as a topological sphere
- TrickyDicky
- · Replies 28 ·
Graduate Contact Vector Fields. "Flow Preserves Contact Structure?
- WWGD
- · Replies 5 ·
Graduate Can a k-Form Be Integrated Over Lower Dimensional Manifolds?
- davi2686
- · Replies 5 ·
Graduate Why Is Cech Cohomology More Common Than Cech Homology?
- WWGD
- · Replies 3 ·
Graduate Different types of differential geometry?
- dyn
- · Replies 13 ·
A curvature problem (differentiation)
- DreamWeaver
- · Replies 2 ·
Graduate Why only Closed Forms Matter in DeRham Cohomology?
- WWGD
- · Replies 7 ·
Graduate How does metric give complete information about its space?
- luinthoron
- · Replies 11 ·
Graduate Maurer-Cartan form involved in Lie bracket
- center o bass
- · Replies 4 ·
Graduate Difference between mixed tensor notation
- blankvin
- · Replies 2 ·
Undergrad Basic concepts about contra/covariance
- davi2686
- · Replies 17 ·
Graduate Can I use generalized Stokes' theorem in Faraday's law?
- davi2686
- · Replies 12 ·
Graduate Antisymmetric gradient matrix?
- scoobmx
- · Replies 1 ·
High School Who Was Pavarotti's Understudy? What Are Second Order Tensors?
- aditya ver.2.0
- · Replies 11 ·
Graduate The ant and honey problem on a spherical bowl - shortest paths?
- nixed
- · Replies 14 ·
Graduate Curvature 1-forms in NP formalism
- Quality Cheese
- · Replies 2 ·
Graduate What is the Definition of the Shape Operator and How is it Calculated?
- Jhenrique
- · Replies 7 ·
Graduate Trivial Isometry Group for the Reals
- Pond Dragon
- · Replies 16 ·
Graduate Intersection between rotated & translated ellipse and line
- piercazzo
- · Replies 1 ·
Graduate How can I calculate a rotation using geometric algebra?
- JonnyMaddox
- · Replies 4 ·
Graduate Does this spherical triangle exist?
- nixed
- · Replies 2 ·
Graduate Coordinate free Christoffel symbols
- kostas230
- · Replies 15 ·
Graduate Lie bracket of derivations in space of r-forms
- Blazejr
- · Replies 2 ·
Graduate Can Vectors Only Associate Pseudo-Forms in Non-Cartesian Coordinates?
- JonnyMaddox
- · Replies 4 ·
Graduate Area of a Sphere: Intuitive Problem Solved
- ChrisVer
- · Replies 4 ·
Undergrad How to find all points along a great circle given two points on circle
- fracs49er
- · Replies 26 ·
Graduate What is the difference b/w analytic, algebraic, differential geometry?
- swampwiz
- · Replies 15 ·
Graduate Intersection between hyperplane within a simplex
- Debashis
- · Replies 3 ·
Graduate Geometric Product: Definition and Calculation
- JonnyMaddox
- · Replies 5 ·
Graduate Introducing K3 Manifold/Surface for Physicists
- Lapidus
- · Replies 2 ·
Undergrad A Bit Confused About Polar Basis Vectors
- MrBillyShears
- · Replies 3 ·
Graduate Confusion with Dot Product in Polar Coordinates with the Metric Tensor
- MrBillyShears
- · Replies 5 ·
Graduate Lie derivative of contraction and of differential form
- Blazejr
- · Replies 5 ·
Undergrad Modelling of a curve in 3D space
- ann96
- · Replies 2 ·
Graduate 2-Plane Distribution in Cylindrical Coords.
- WWGD
- · Replies 3 ·
Graduate Are Lie Groups with Identical Lie Algebras Always Homomorphic?
- HomogenousCow
- · Replies 2 ·
Graduate Find radial imprint on rotating disk
- HALON
- · Replies 8 ·
Graduate How Does the Kronecker Delta Lead to the Identity of Jacobians?
- cr7einstein
- · Replies 2 ·
Graduate Average of Multiple Stress Tensors
- phukanha
- · Replies 1 ·
Graduate Second derivative of a unit vector from The Feynman Lectures
- ZetaOfThree
- · Replies 1 ·
Undergrad Only conservative vector fields are path independent?
- princejan7
- · Replies 2 ·
Graduate Fields Medal 2014 to Maryam Mirzakhani
- Astronuc
- · Replies 1 ·
Graduate Solve Hodge Star Operator Problem Step-by-Step
- JonnyMaddox
- · Replies 5 ·
Explaining Isometries: Two Tasks
- jljarrett18
- · Replies 16 ·
Graduate What is a Manifold? Curvature Explained in 3D Space
- iyz
- · Replies 12 ·
Graduate What is the generalization of the tensor product definition for a three form?
- JonnyMaddox
- · Replies 10 ·
Graduate Surface area of a Hypersphere?
- shintashi
- · Replies 4 ·
Graduate Earth Geodesics - Rhumb Line vs Great Circle
- GreenLRan
- · Replies 6 ·
Graduate Is the inner product of two rank n tensors a scalar?
- 21joanna12
- · Replies 4 ·
Graduate Proof? Kronecker delta is the only isotropic second rank tensor
- mSSM
- · Replies 6 ·
Graduate Path connected subgroups of SO(3),
- Tinyboss
- · Replies 3 ·
Undergrad How Large Must a Circle Be for a Tangent to Cover an Area?
- prashant.d000
- · Replies 10 ·
Graduate Does the Lie Bracket Always Close the Parallelogram as Described?
- Pond Dragon
- · Replies 1 ·
Undergrad How Is the Surface Area of Spherical Cap Slices Calculated?
- bobie
- · Replies 9 ·
Graduate How can the interior product be visualized using a concrete example?
- JonnyMaddox
- · Replies 11 ·
Graduate Can Curvature Only Be Formed by Removing Sections of Flat Space?
- friend
- · Replies 9 ·
Graduate Levi civita symbol and kronecker delta identities in 4 dimensions
- Emil
- · Replies 2 ·
Graduate Can Principal Bundles Help with Lie Group Decomposition?
- Pond Dragon
- · Replies 1 ·
Graduate The Geometry of Non-Euclidean Complex Planes
- maline
- · Replies 2 ·
Graduate Which Computational Software Is Best for Tensorial Hermite Polynomials?
- parulm
- · Replies 3 ·
Graduate Understanding 3D Rotations & Linear Relationships in Physics
- electricspit
- · Replies 2 ·
Graduate Radius of Curvature: Formula & Name
- manushanker20
- · Replies 1 ·
Undergrad What exactly is differential form?
- quangtu123
- · Replies 13 ·
Calculating Radius of Circular Section from Sphere and Plane Intersection
- marutkpadhy
- · Replies 2 ·
Graduate Computing geodesic distances from structural data
- Munich
- · Replies 1 ·
Graduate Differential Form on Product Manifold
- WWGD
- · Replies 1 ·
Graduate What kind of isometry? A metric tensor "respects" the foliation?
- center o bass
- · Replies 2 ·
Graduate Foliation with isometric leaves.
- center o bass
- · Replies 3 ·
Graduate Where is the uniqueness of smooth structure for involutive distributions proved?
- center o bass
- · Replies 1 ·
Graduate Understanding F = ∇·F: The Relationship Between Scalar and Vector Fields
- Jhenrique
- · Replies 7 ·
Undergrad 'Average Distance' Between Many Points
- Nlc11
- · Replies 9 ·
Graduate Angle between two orthogonal coordinate systems
- fannyfanfanz
- · Replies 16 ·
Graduate Geodesic Radius of Curvature Calculation Method
- manushanker20
- · Replies 2 ·
Graduate Curl in 5D using levi-civita tensor
- davi2686
- · Replies 4 ·
Graduate Maps of Ringed Spaces: Definition & Equivalence
- Mandelbroth
- · Replies 8 ·
Graduate Indefinite Integrals of Scalar and Vector Fields: A Path Independence Dilemma?
- Jhenrique
- · Replies 12 ·
Graduate Circle in the Complex Domain where Mean is not the Centre
- electronicengi
- · Replies 3 ·
Surface Intersection: Paraboloid & Plane
- evinda
- · Replies 30 ·
Graduate Understanding Scalar Fields: Tools for Studying Vector Field Behavior
- Jhenrique
- · Replies 7 ·
Undergrad How can I scale the noise function in a 2D game map generator?
- JohnLuck
- · Replies 1 ·
Undergrad What is the symmetry axis of a hyperbola and how can it be calculated?
- Burger
- · Replies 1 ·
Graduate Products of Locally Ringed Spaces
- Mandelbroth
- · Replies 5 ·
Graduate Area and volume integral of vector field
- Jhenrique
- · Replies 4 ·
Graduate Vorticity and Flux of Vector Field ##\vec{f}## Explained
- Jhenrique
- · Replies 8 ·
Undergrad Calculating the Radius of Curvature for a Deflected Beam
- Jerry1989
- · Replies 2 ·
Undergrad Is it possible to convert 2D coordinates of point to 3D form ?
- ramdas
- · Replies 3 ·
Graduate Question about Finsler geometry
- Esmaeil
- · Replies 1 ·
Graduate Closed integration of exact form
- Jhenrique
- · Replies 1 ·
Graduate Geometric Interpretation of VSEPR Theory
- Neolux
- · Replies 3 ·
Graduate Can Circulation be Computed in a System with an Open Path of Integration?
- Jhenrique
- · Replies 5 ·
Graduate Is a Manifold Defined by Sheaves Always Hausdorff?
- Mandelbroth
- · Replies 3 ·
Graduate Exploring the 3-Sphere: A Beginner's Guide to Higher Dimensions
- Sunfire
- · Replies 14 ·
Graduate Why is grad(f) a covariant vector
- Benjam:n
- · Replies 2 ·
Graduate Transformation behavior of the gradient
- joda80
- · Replies 2 ·