New posts in differential-geometry

Difference between the Jacobian matrix and the metric tensor

The existence of complete Riemannian metric

Riemannian metrics on homogeneous spaces

Trace of a bilinear form?

Does the curvature determine the metric?

A doubt about the construction of a linear map $T$ such that $T:\mathbb R^N \to \mathbb R^p$ such that $K \cap \operatorname{ker} T = \{0\}$

Are there exotic symplectic structures on $ S^2 $?

Coordinate independence of geometrical objects.

Cohomology of Product of Spheres

Uniformization theorem and conformally equivalent metrics on the disk.

Curvature of the earth from Theorema Egregium

Differential operators as sections of a vector bundle

Why do I care that smooth vector fields over a smooth manifold have a Lie algebra?

Manifold interpretation of Navier-Stokes equations

Are manifold subsets that are immersed submanifolds (regular/embedded) submanifolds?

Do "exotic vectorfields" exist?

Continuous homomorphisms of Lie groups are smooth

What is an "allowable surface patch"?

The Dimension of the Symmetric $k$-tensors

Question about orientable manifolds