Differential Geometry Forum

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Graduate Best visualization of SO(3)

Graduate On covariance of the Lagrange equations

Undergrad Do non-orthogonal coordinate systems mean dependent coordinates?

Graduate Equivalent definitions of tensor field

Graduate Strain Tensor Based on Clifford Algebra

Undergrad Differential Geometry with GNU/Linux

Undergrad About the maximal extension of local charts on a manifold

Graduate Injective immersion and embedding

Undergrad Geodesics on Ellis wormhole differ from Wikipedia with parallel transport

Undergrad Compact manifold cannot be represented by (single) parametric equation

Undergrad ##C^{\infty}##-module of smooth vector fields can lack a basis

Undergrad Round 3-sphere symmetries as subspace of 4D Euclidean space

Undergrad Differential structures over a topological manifold

Undergrad ##SO(3)## topology

Undergrad Pseudo-Riemaniann isometries

Undergrad Spherically symmetric manifold

Undergrad Smooth Manifold Chart Lemma

Undergrad Vector fields wedge product vs covector field

Undergrad Definition of a Manifold

Undergrad Why add partial derivatives instead of combining them geometrically

Undergrad Definition of inertia tensor from a differential geometry viewpoint

Undergrad Closed implies exact (differential 1-forms on R^2)

Undergrad Transformation of second rank tensor

Undergrad Differential structure on topological manifolds of dimension <= 3

Undergrad Maximal atlas of topological manifold

Undergrad Galilean spacetime as a fiber bundle

Undergrad 2-sphere with any topology can't be homeomorphic to the plane

Undergrad Must a Smooth Section Over a Mobius Strip Take Value Zero at Some Point?

Undergrad Properties of the initial topology from a topological manifold

Graduate Bachman : A geometric approach to differential forms

Undergrad Poincare lemma for one-form on ##\mathbb R^2 \backslash \{ 0 \}##

High School Axes on a hyperbolic plane

Undergrad On the definition of canonical coordinates in phase space

Undergrad Vectors vs covectors and metric tensor notation

Undergrad Induced metric in general case

Undergrad Dot product between basis vectors and dual basis vectors

Graduate Is the Lie derivative a tensor itself?

Undergrad Is there a consensus about the meaning of the Christoffel symbols' indices?

Undergrad Why do triangle projections equal area times direction cosines?

Undergrad Inner product of two tensors

Undergrad Does the gradient map from R^n to R^n for a scalar function?

Graduate Understanding: double of conformally flat manifold is conformally flat

Undergrad How to find inverse coordinates?

Undergrad Proving scalar product consistency for df using the chain rule

Undergrad Trying to learn tensor algebra

Undergrad Notion of congruent curve along a vector field

Undergrad Dirichlet problem boundary conditions

Undergrad Which basis-forms are pseudo-tensors?

Graduate Alternative topology of our 3D space

Undergrad Manifold hypersurface foliation and Frobenius theorem

Undergrad SL(n,R) Lie group as submanifold of GL(n,R)

Undergrad Grassmannian as smooth manifold

Undergrad Can covariant derivative tensorialness be derived?

Undergrad Frobenius theorem applied to frame fields

Undergrad 2-sphere manifold intrinsic definition

Undergrad Radius of curvature formula when the denominator = 0

Undergrad Quotient law and the curl in index notation

Undergrad What is the difference between Gaussian and sectional curvature?

Undergrad Do gradient and curl only differ by a Levi-Cavita tensor?

High School Hopf fibration, Bloch sphere and quantum rotations - interactive site

Undergrad 3-parameter group of symmetries on the plane

Undergrad Approximating smooth curved manifolds with "local bits" of curvature?

Undergrad Flat surface to curved surface

Undergrad Definition of manifolds with boundary

Undergrad When can I commute the 4-gradient and the "space-time" integral?

Undergrad Identification tangent bundle over affine space with product bundle

Undergrad Induced orientation on boundary of ##\mathbb{H}^n## in ##\mathbb{R}^n##

Undergrad Resources on the Derivation of generalized Stokes' theorem

Graduate How to switch from tensor products to wedge product

Undergrad A way to comprehend the geometry of a hypercube

High School What would need to be possible to make a cube of circles?

Undergrad Degrees of Freedom in Lagrangian Mechanics for a Fractal Path

Undergrad Is Diagrammatic Tensor Notation Widely Used in Mathematics?

Graduate 3-connection on nontrivial topological 3-manifold

Undergrad Question regarding the 3-form ##dx^i \wedge dx^j \wedge dx^k##

Undergrad Converse of focus-directrix property of conic sections

Undergrad Unwrapping a curved wood surface for laser cutting

Undergrad Local trivialization and group action in principal bundles

Undergrad Definition of tangent vector on smooth manifold

Undergrad How to apply tensor transformation rule

Graduate What subset of a 3D space can be addressed by a single chart?

Undergrad Frobenius theorem for differential one forms

Undergrad Dirac delta function in 2d polar coordinates

Undergrad Invariance of a tensor of order 2

Graduate What Is the Gauss Embedding Theorem Mentioned in the Video Talk?

Undergrad Where do self wedge product terms vanish in Chern-Simons theory

Undergrad Rewriting Equation of Motion in terms of Dual Fields (Chern-Simons)

Undergrad Contact manifold and Darboux's theorem

Undergrad Differential operator vs one-form (covector field)

High School East-West error at regular points on the Azimuthal Equidistant Map

Undergrad How do I parametrize a conical/cylindrical surface in cylindrical unit vectors?

Undergrad How can a sphere be transformed using differential geometry?

Undergrad Trouble with metric. Holonomic basis and the normalised basis

Undergrad Do two reflections compose to a rotation in 3D?

High School How to find the infinitesimal coordinate transform along a hyperbola?