New posts in Riemannian Geometry

The Sphere Does Not Admit a Metric Isometry into a Euclidean Space.

Killing Fields on Euclidean Spaces

What’s the relation between local diagonalisation of Riemannian metrics and the eigenprojections for the representation matrix functions?

Is there a minimal graph in $\mathbb{R}^3$ which is not area-minimizing?

Can a topological manifold be non-connected and each component with different dimension?

Looking for theorem of form: If [curvature hypotheses, etc] then every class in $\pi_1(M)$ is uniquely represented by a closed geodesic

Definition of gradient of a function $f$ in Riemannian manifold

Vanishing of curvature tensor implies path independence of parallel transport only to second order?

Why does Brownian motion have drift on Riemannian Manifolds?

A generalization of the "Four vertex theorem"