New posts in differential-geometry

Showing $\int_{-1}^1\frac{m(2m-1)x^{2m-2}(1-x^{2m})+m^2x^{4m-2}}{(m^2x^{4m-2}+1-x^{2m})\sqrt{1-x^{2m}}}dx=\pi$, algebraically

differential-geometry definite-integrals curvature

Relationship beween Ricci curvature and sectional curvature

analysis differential-geometry riemannian-geometry

Proving ${\mathbb{P}}^n$ is Hausdorff

general-topology differential-geometry quotient-spaces projective-space

Flat connection with non-trivial holonomy? I cannot get it

differential-geometry principal-bundles holonomy

Advanced beginners textbook on Lie theory from a geometric viewpoint

differential-geometry representation-theory lie-groups lie-algebras book-recommendation

Is a general smooth rescaling of a complete vector field itself complete?

differential-geometry partial-differential-equations differential-topology smooth-manifolds vector-fields

Is an immersed submanifold second-countable?

differential-geometry differential-topology

Orientability of a product of smooth manifolds implies orientability of each factor

differential-geometry smooth-manifolds

Compute the pushforward of the vector field $\frac{\partial}{\partial x^1}$ via a given function $\phi$

differential-geometry polar-coordinates vector-fields

Verification of Frenet Serret

differential-geometry

Non-integrability of distribution arising from 1-form and condition on 1-form

differential-geometry differential-forms contact-topology

Self study Control Theory

real-analysis general-topology differential-geometry dynamical-systems control-theory

Volume of a geodesic ball

differential-geometry

Formula for curvature of two intersecting surfaces in terms of their normal curvature.

differential-geometry riemannian-geometry surfaces

Given a helix, consider the curve of it's tangent. Express the curvature and torsion of such a curve.

geometry differential-geometry

A question about curves in $\mathbb{R}^2$

differential-geometry plane-curves

Deriving generators for $H^1(T)$: what are $dx$ and $dy$?

differential-geometry differential-forms

Deforming parametric circle

differential-geometry analytic-geometry parametric

Does the group of Diffeomorphisms act transitively on the space of Riemannian metrics?

reference-request differential-geometry

Almost A Vector Bundle

differential-geometry examples-counterexamples vector-bundles