New posts in differential-geometry

Is a germ equivalent to an infinite jet?

real-analysis analysis differential-geometry germs jet-bundles

Is there a generalization of the helix from $\mathbb{R}^3$ to $\mathbb{R}^4$?

differential-geometry curves

Milnor's exercise: for any manifold $M$, $\mathrm{Hom}(C^\infty(M,\mathbb{R}),\mathbb{R})\cong M$

differential-geometry commutative-algebra proof-explanation manifolds

How to generalize the Euclidean "unicycle" model?

differential-geometry mathematical-modeling geodesic kinematics

Why the tangent bundle is Hausdorff?

differential-geometry

Computation in Wikipedia's article "Riemann Curvature Tensor"

differential-geometry riemannian-geometry

Which coefficients of the characteristic polynomial of the shape operator are isometric invariants?

differential-geometry riemannian-geometry

Characterizing singularities using sheaves of smooth functions

differential-geometry sheaf-theory

Explanation for the integral of differential forms

integration differential-geometry differential-forms

Naturality of the pullback connection

differential-geometry differential-topology riemannian-geometry

Flow of sum of non-commuting vector fields

ordinary-differential-equations differential-geometry

Understanding the notion of a connection and covariant derivative

differential-geometry connections

Does the Lie derivative commute with $\partial$?

differential-geometry smooth-manifolds complex-geometry lie-derivative

A nonzero holomorphic parallel section never vanishes

differential-geometry complex-geometry holomorphic-bundles

Finding parametric curves on a sphere

calculus differential-geometry

How to tell which manifolds can be embedded in $\mathbb{R}^n$, for a given $n$?

differential-geometry manifolds differential-topology smooth-manifolds

Electric field and curvature

differential-geometry physics surfaces vector-fields curvature

Centralizer of one element on a compact connected Lie group

differential-geometry representation-theory lie-groups

Does the orientation bundle not depend on the choice of cover?

differential-geometry algebraic-topology smooth-manifolds

Show, that the intersection of two manifolds $M, N \subset \mathbb{R}^n$ doesn't need to be a manifold [closed]

differential-geometry manifolds