New posts in Riemannian Geometry

Why are parallelizable manifolds called parallelizable?

Calculating the curvature of product manifold $\mathbb{S}^2 \times \mathbb{R}$

orthogonal projection onto a manifold

Is there a "geometric reason" for why the gradient of $f(x,y)=\frac{x}{\sqrt{x^2+y^2}}$ is tangent to the unit circle?

Why do we need the covariant derivative along a curve - why are linear connections not sufficient?

When is the Rayleigh quotient (spherically) convex?

Metric Tensor of Hyperboloid Model for Hyperbolic Space with Curvature $K$

Compute connection 1-forms of warped product manifold using method of moving frames

Intuition behind Riemannian-metric

Does parallel transport change the subspace?