New posts in riemannian-geometry

Prerequisites for studying Hodge theory and the Hodge conjecture

algebraic-geometry soft-question riemannian-geometry hodge-theory

Acceleration from General Relativity

differential-geometry riemannian-geometry general-relativity

When is the metric completion of a Riemannian manifold a manifold with boundary?

differential-geometry riemannian-geometry

Euler Characteristic of fiber bundle using Differential Geometry

differential-geometry reference-request algebraic-topology differential-topology riemannian-geometry

Metric on Steifel and Grassmannian manifolds generalizing Fubini-Study

differential-geometry riemannian-geometry

Positive definiteness of Fubini-Study metric

linear-algebra differential-geometry riemannian-geometry

When viewing Sobolev spaces as completions, how does the notion of weak derivative arise?

functional-analysis reference-request partial-differential-equations riemannian-geometry sobolev-spaces

Intuitive way to understand Gauss-Bonnet Theorem

differential-geometry riemannian-geometry intuition

Quotient of $ S^3 \times S^3$ by a free torus action.

differential-geometry algebraic-topology lie-groups riemannian-geometry

Gauss-Bonnet Like Statement Connecting Parallel Transport and Curvature

differential-geometry riemannian-geometry curvature

Every compact manifold is geodesically complete

riemannian-geometry

How does a metric tensor describe geometry on a manifold?

differential-geometry metric-spaces riemannian-geometry

Implicit formula for the Levi-Civita connection

differential-geometry riemannian-geometry differential-forms connections lie-derivative

On the definition of the geodesic curvature and its relation to concepts from Riemannian geometry

differential-geometry riemannian-geometry curvature connections

Compact Lie group bi-invariant metric

differential-geometry riemannian-geometry

Does there exist an area-preserving map from the hyperbolic plane to the Euclidean plane? [duplicate]

geometry riemannian-geometry area hyperbolic-geometry

Diffeomorphism invariance of the Ricci tensor

differential-geometry riemannian-geometry

A lemma for proving Myers-Steenrod theorem

riemannian-geometry smooth-manifolds

Equivalence of intrinsic and extrinsic metrics of embedded manifolds.

differential-geometry riemannian-geometry

Dependence of distance function on Riemannian metric

analysis differential-geometry riemannian-geometry