New posts in differential-geometry

Isometries of $\mathbb{S}^n$

reference-request differential-geometry riemannian-geometry

intrinsic proof that the grassmannian is a manifold

algebraic-geometry differential-geometry manifolds grassmannian

Checking my understanding of $T^*M$ as a symplectic manifold and the links between the classical description of Lagrangians vs this invariant way.

differential-geometry calculus-of-variations classical-mechanics symplectic-geometry

Motivation for the definition of an infinitesimal object

differential-geometry category-theory smooth-manifolds topos-theory synthetic-differential-geometry

Are there any compact embedded 2-dimensional surfaces in $\mathbb R^3$ that are also flat?

differential-geometry

Hamiltonian for Geodesic Flow

differential-geometry riemannian-geometry vector-bundles geodesic gradient-flows

When can a functional be written as the integral of a 1-form?

differential-geometry differential-forms

Why can't we usually speak of partial derivatives if the domain is not open?

multivariable-calculus differential-geometry differential-topology

Derivative of the inclusion of a submanifold

differential-geometry differential-topology smooth-manifolds

Frenet-Serret and Vector Fields

differential-geometry vector-fields frenet-frame

No Smooth Onto Map from Circle to Torus

general-topology differential-geometry differential-topology

Good sources to learn about Geometric Analysis

differential-geometry reference-request partial-differential-equations

Covariant derivative of vector field along itself: $\nabla_X X$

differential-geometry riemannian-geometry connections

Removing a point from a sphere

differential-geometry differential-topology smooth-manifolds

Is there a smooth surjective map from a connected manifold onto a manifold with higher dimension?

general-topology differential-geometry manifolds differential-topology

Hyperbolic metric geodesically complete

differential-geometry riemannian-geometry riemann-surfaces hyperbolic-geometry

When can a vector field be rescaled to have constant divergence?

ordinary-differential-equations differential-geometry differential-topology dynamical-systems vector-analysis

If $g^{-1} \circ f \circ g$ is $C^\infty$ whenever $f$ is $C^\infty$, must $g$ be $C^\infty$?

real-analysis differential-geometry

Are "differential forms" an algebraic approach to multivariable calculus?

differential-geometry multivariable-calculus multilinear-algebra

Multivariate Taylor Series Derivation (2D)

calculus differential-geometry multivariable-calculus