New posts in riemannian-geometry

Riemannian/Ricci curvature for round n-sphere

riemannian-geometry

Extension of Riemannian Metric to Higher Forms

differential-geometry riemannian-geometry multilinear-algebra

understanding covariant derivative (connexion)

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Why define $(\nabla^2F)(X,Y)=\nabla_X(\nabla_YF)-(\nabla_{\nabla_XY}F)$?

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Intuition on Kulkarni-Nomizu product

differential-geometry riemannian-geometry tensor-products

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

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Geodesic of a curved surface

differential-geometry riemannian-geometry surfaces

Picturing the how the covariant derivative acts on vector fields

riemannian-geometry

If $\Gamma^k_{ij}(p)=0$, then $\nabla_{E_i}E_j (p)=0?$

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Proof of weak maximum principle for heat-type equations

differential-geometry partial-differential-equations solution-verification riemannian-geometry maximum-principle

Newton iteration on Riemannian manifolds

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Are nearby simple closed geodesics ambient isotopic?

general-topology differential-geometry riemannian-geometry geodesic

What meaning did Riemann assign to $dx$?

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Is geodesic distance equivalent to "norm distance" in $SL_n(\mathbb{R})$?

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When Two Connections Determine the Same Geodesics

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Sectional curvature of product metric?

differential-geometry riemannian-geometry curvature

Critical Curves of the Energy Functional are Geodesics

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The Ricci flow and $\frac{\partial}{\partial t}g_{ij}=-2(R_{ij}+\nabla_i \nabla_j f)$ are equivalent up to diffeomorphism

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Uniqueness of bi-invariant metrics on Lie groups?

lie-groups riemannian-geometry

Is every geodesic-preserving diffeomorphism an isometry?

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