New posts in riemannian-geometry

$\Delta \mathbf n = -2 \mathbf n$ on the Euclidean sphere

differential-geometry riemannian-geometry surfaces laplacian

If $M$ is a compact Riemannian manifold and $g$ and $\tilde{g}$ are metrics on $M$, then $\frac{1}{C} g \leq \tilde{g} \leq C g$ for $C > 1$

proof-explanation riemannian-geometry

How to show $\frac{n}{4}\ln [1+\int |\nabla \phi|^2 dV]\le \frac{1}{2\pi}\int |\nabla \phi|^2 dV + C(g,n)$? [closed]

riemannian-geometry ricci-flow

Exponential map on the $n$-sphere

differential-geometry riemannian-geometry geodesic

Why does Brownian motion have drift on Riemannian Manifolds?

differential-geometry stochastic-processes riemannian-geometry stochastic-calculus brownian-motion

Spectral decomposition of $-\Delta$ the Laplacian

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Understanding the definition of norm of tensors on a Riemannian manifold

differential-geometry definition riemannian-geometry normed-spaces tensors

About the Killing-Hopf theorem

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Isometric embedding of $(\mathbb{R}^2, d_\infty)$ into $(\mathbb{R}^m,d_2)$?

metric-spaces euclidean-geometry riemannian-geometry

Properties of Totally geodesic submanifolds

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A determinant coming out from the computation of a volume form

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How is the metric defined on the real projective space $\mathbb{RP}^n$?

riemannian-geometry projective-space

Smooth Poincaré Conjecture

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Area of minimal submanifold in $S^3$

differential-geometry riemannian-geometry minimal-surfaces

The equivalence of two formulae for the Laplace—Beltrami operator

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How to show $d(\exp_p(tv),\exp_p(tw))=\vert t \vert\cdot\Vert v-w \Vert+O(t^2)$?

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Levi-Civita connection between conformal metrics

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What is the universal cover of SL(2,R)?

group-theory lie-groups riemannian-geometry

Good problem book in differential geometry

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Existence of orthogonal coordinates on a Riemannian manifold

riemannian-geometry coordinate-systems orthogonality