New posts in differential-geometry

How do we construct the cotangent space?

differential-geometry algebraic-geometry definition co-tangent-space

About the definition of curvature

multivariable-calculus differential-geometry

Flat non-trivial $U(1)$-bundle? Is it possible?

differential-geometry algebraic-topology principal-bundles holonomy

Space form structure for non orientable surfaces

differential-geometry differential-topology lie-groups riemannian-geometry symmetric-spaces

Is the differential forms perspective on $dx$ incompatible with the technique of implicit differentiation?

calculus differential-geometry differential-topology differential-forms implicit-differentiation

What does $dx$ mean in differential form?

calculus differential-geometry

Pullback of $n$-sphere volume form via Gauss map

differential-geometry riemannian-geometry curvature

Proof of whitney's embedding theorem?

differential-geometry manifolds

To use the regular level set theorem, is it enough to have a maximal rank?

differential-geometry smooth-manifolds differential submanifold

Lower bound on convexity radius in terms of injectivity radius (without using curvature)

differential-geometry reference-request partial-differential-equations riemannian-geometry

Induced metric via $\mathbb C P^n \cong SU(n + 1)/S(U(n) \times U(1))$

differential-geometry lie-groups lie-algebras

What is a mathematical definition of the Maxwellian spacetime?

differential-geometry metric-spaces coordinate-systems

Local $\partial \bar{\partial}$-lemma..

differential-geometry differential-forms complex-geometry

The difference between the algebraic torus and the geometric torus

differential-geometry soft-question

Is the scalar curvature the only isometric invariant of a Riemannian 2-manifold?

differential-geometry

Is the fixed point set of an action a submanifold?

differential-geometry group-actions

Prove $\dfrac{d}{dt} \bigg|_{t=0}\varphi^Y_{-\sqrt{t}} \circ \varphi^X_{-\sqrt{t}} \circ \varphi^Y_{\sqrt{t}} \circ \varphi^X_{\sqrt{t}}=[X,Y](p)$ [duplicate]

differential-geometry vector-analysis lie-algebras

Does $[\mathfrak{h},[\mathfrak{h},\mathfrak{h}]]=0$ imply $[\mathfrak{h},\mathfrak{h}]=0$?

linear-algebra abstract-algebra differential-geometry lie-groups lie-algebras

Volume Forms Induced by Embedding

differential-geometry riemannian-geometry differential-forms

Is there a field of 'real analytic geometry'?

algebraic-geometry differential-geometry big-picture