Newbetuts

Each point of $M$ has a smooth coordinate neighborhood in which the coordinate frame is orthonormal iff $g$ is flat

What is the definition of tensor contraction?

Difference between second order derivative and curvature.

Proof of Cartan lemmma : why are the coefficients smooth?

How can a group of matrices form a manifold?

Is there a retraction of a non-orientable manifold to its boundary?

Differential Geometry textbooks for someone interested in Algebraic Geometry

Difference between pushforward and differential

Cancellation in topological product

Example for conjugate points with only one connecting geodesic

A local diffeomorphism of Euclidean space that is not a diffeomorphism

Prerequisite for Petersen's Riemannian Geometry

Euler characteristic, genus and cohomology: a deep connection?

Tensor Calculus

Curvature of geodesic circles on surface with constant curvature

New posts in differential-geometry

Determining if there can be smooth closed geodesic given its curvature

Cross product in $\mathbb R^n$ (from Spivak's book)

Relation between $\eta\wedge \bar{\eta}\wedge \omega^{n-1}$ and $||\eta||^2\omega^n$

Learning modern differential geometry before curves and surfaces

Gaussian distribution on a $2$-sphere

Each point of $M$ has a smooth coordinate neighborhood in which the coordinate frame is orthonormal iff $g$ is flat

What is the definition of tensor contraction?

Difference between second order derivative and curvature.

Proof of Cartan lemmma : why are the coefficients smooth?

How can a group of matrices form a manifold?

Is there a retraction of a non-orientable manifold to its boundary?

Differential Geometry textbooks for someone interested in Algebraic Geometry

Difference between pushforward and differential

Cancellation in topological product

Example for conjugate points with only one connecting geodesic

A local diffeomorphism of Euclidean space that is not a diffeomorphism

Prerequisite for Petersen's Riemannian Geometry

Euler characteristic, genus and cohomology: a deep connection?

Tensor Calculus

Curvature of geodesic circles on surface with constant curvature