New posts in differential-geometry

The tangent space is well-defined

differential-geometry solution-verification smooth-manifolds tangent-spaces

The continuity of multivariable function

calculus differential-geometry

What would be the shortest path between 2 points when there are objects obstructing the straight path?

differential-geometry algorithms artificial-intelligence

Dimension of the space of algebraic Riemann curvature tensors

linear-algebra combinatorics differential-geometry representation-theory

Restriction of smooth functions.

real-analysis differential-geometry differential-topology

Special conformal killing fields - solving for integral curves.

ordinary-differential-equations differential-geometry lie-groups lie-algebras

Applications of Geometry to Computer Science

differential-geometry soft-question computer-science applications

Acceleration from General Relativity

differential-geometry riemannian-geometry general-relativity

Is there a fibre bundle with fibre homeomorphic to $\mathbb R^k$ which cannot be given the structure of a vector bundle?

geometry differential-geometry vector-bundles fiber-bundles

On the meaning of formal sums of $k$-cubes, i.e. $k$-chains (in integration on manifolds)

integration differential-geometry manifolds differential-forms

Gradient in differential geometry

differential-geometry

Proving the Poincare Lemma for $1$ forms on $\mathbb{R}^2$

differential-geometry proof-writing exterior-algebra

The set of all critical points of a smooth map is closed

differential-geometry

When is the metric completion of a Riemannian manifold a manifold with boundary?

differential-geometry riemannian-geometry

On the smooth structure of $\mathbb{R}P^n$ in Milnor's book on characteristic classes.

differential-geometry manifolds differential-topology characteristic-classes

Euler Characteristic of fiber bundle using Differential Geometry

differential-geometry reference-request algebraic-topology differential-topology riemannian-geometry

Do differential equations correspond to vector fields, or differential forms, or both?

ordinary-differential-equations multivariable-calculus differential-geometry differential-topology

Question on exterior differential $d\omega$ computation

differential-geometry differential-forms exterior-derivative

Metric independent definition of the derivative

differential-geometry metric-spaces stokes-theorem exterior-derivative

O(n) as embedded submanifold

differential-geometry manifolds