New posts in riemannian-geometry

Does $R(X, Y)Y$ lie in the plane spanned by $X$ and $Y$? [closed]

riemannian-geometry curvature

Adjoint of the covariant derivative on a Riemannian manifold

differential-geometry riemannian-geometry

Riemannian metric of the tangent bundle

differential-geometry riemannian-geometry

Continuous quasi-isometry between Riemannian manifolds

riemannian-geometry geometric-topology metric-geometry

What comes after the curvature tensor in "higher derivatives"?

differential-geometry riemannian-geometry curvature

Isometries preserve geodesics

manifolds riemannian-geometry

Prove that Christoffel symbols transformation law via the metric tensor

differential-geometry riemannian-geometry tensors connections

Could I understand the following results by interpreting curvature as acceleration?

riemannian-geometry curves curvature

"Self-sliding" surfaces

geometry riemannian-geometry surfaces

What is the affine connection, and what is the intuition behind/for affine connection?

differential-geometry riemannian-geometry connections

Prove that isometries of the hyperbolic plane map horocycles to horocycles

riemannian-geometry hyperbolic-geometry isometry

Is the Nash Embedding Theorem a special case of the Whitney Embedding Theorem?

differential-geometry manifolds riemannian-geometry

Manifolds with volume forms on every submanifold

differential-geometry riemannian-geometry volume geometric-measure-theory information-geometry

Riemannian metric making a submanifold totally geodesic and with positive injectivity radius

differential-geometry riemannian-geometry differential-topology

Fixed Points Set of an Isometry

riemannian-geometry isometry fixed-points submanifold

Advanced Differential Geometry Textbook

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Does the Levi-Civita connection determine the metric?

riemannian-geometry connections holonomy

What hyperbolic space *really* looks like

geometry manifolds riemannian-geometry smooth-manifolds hyperbolic-geometry

Equivalent definition of metric compatibility for a connection: what does $\nabla g$ mean?

riemannian-geometry tensors connections

Intuition of cocycles and their use in dynamical systems

reference-request algebraic-topology riemannian-geometry dynamical-systems