New posts in differential-geometry

$SL(n)$ is a differentiable manifold

differential-geometry differential-topology smooth-manifolds

If a holomorphic bundle is smoothly trivial, is it holomorphically trivial?

differential-geometry complex-geometry holomorphic-bundles

Intrinsic and Extrinsic curvature

differential-geometry curvature

$C^\infty$ vs. $C^\omega$ surfaces

geometry differential-geometry

Does every even-dimensional Lie group admit a complex structure?

differential-geometry lie-groups complex-geometry

How to understand blowing up a submanifold

differential-geometry intuition smooth-manifolds blowup

Diffeomorphism: Unit Ball vs. Euclidean Space

multivariable-calculus differential-geometry

How to make sense of complex coordinates on manifolds?

real-analysis complex-analysis differential-geometry smooth-manifolds coordinate-systems

Does Hodge-star commute with metric connections?

differential-geometry riemannian-geometry vector-bundles connections

Converse To Quotient Manifold Theorem [Exercise in Lee Smooth Manifolds]

differential-geometry manifolds differential-topology

Do diffeomorphisms act transitively on a manifold?

differential-geometry manifolds

Confusion with what the metric gives when mapping a surface to the complex plane

differential-geometry

If $f(..., v_{i+1}, v_i,...) = −f(..., v_i, v_{i+1},...)$ prove that $f$ is alternating

differential-geometry tensors differential-forms

Morse functions invariant under diffeomorphisms

differential-geometry homology-cohomology morse-theory

Intuitively, what does it mean that two charts are compatible?

differential-geometry manifolds

locally isometric is not a symmetric relation.

differential-geometry riemannian-geometry

Why is first fundamental form considered intrinsic

differential-geometry surfaces smooth-manifolds

How to tell whether a curve has a regular parametrization?

differential-geometry plane-curves

How to project a parametric curve to a free-form parametric surface

geometry differential-geometry curves surfaces parametric

Smooth fibration is a submersion

differential-geometry algebraic-topology differential-topology