New posts in differential-geometry

Can we define higher-order tangent spaces of a manifold with equivalence classes defined equating second derivatives?

differential-geometry

Computing geodesics (or shortest paths)

geometry ordinary-differential-equations differential-geometry numerical-methods geodesic

Parametrization of the lemniscate

differential-geometry parametric plane-curves

How to derive the standard symplectic form on a 2-sphere in cylindrical polar coordinates?

geometry differential-geometry differential-forms symplectic-geometry

Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$

differential-geometry lie-groups lie-algebras vector-fields

Isotropic Manifolds

differential-geometry riemannian-geometry

Why the interest in locally Euclidean spaces?

geometry differential-geometry euclidean-geometry

Show that $V^{\mu} = (\cos\phi, -\cot\theta \sin\phi)$ is a Killing's vector on the 2-sphere.

differential-geometry geodesic general-relativity

Rank and smooth section of a tautological vector bundle on $\mathbb{C}P^{1}$

differential-geometry complex-geometry vector-bundles holomorphic-bundles

Is a connected sum of manifolds uniquely defined?

general-topology differential-geometry differential-topology manifolds

Curvature of a curve lying on a sphere?

multivariable-calculus differential-geometry

Tensors constructed out of metric other than the Riemann curvature tensor

geometry differential-geometry manifolds riemannian-geometry

Is integration on manifolds unique?

differential-geometry manifolds

Degree of smooth map (between same-dimensional manifolds) expressed in two ways

differential-geometry differential-topology smooth-manifolds de-rham-cohomology

Normal form of currents

differential-geometry distribution-theory

What is the dimension of $M/G$ if it is a manifold?

general-topology differential-geometry differential-topology lie-groups smooth-manifolds

Gradient-like vector fields

differential-geometry differential-topology morse-theory

Gradient of a function restricted to a submanifold

differential-geometry riemannian-geometry

Coordinate-free techniques in Lagrangian mechanics

differential-geometry classical-mechanics

About degree of a smooth map between Manifolds

differential-geometry differential-topology geometric-topology