New posts in manifolds

Geometric meaning of a nondegenerate critical point

differential-geometry differential-topology manifolds

Question about statement of Rank Theorem in Rudin

analysis differential-geometry manifolds intuition

"Completing" a vector field on a non-compact manifold $M$

differential-geometry manifolds differential-topology

Differential of Multiplication Map of Lie Group

differential-geometry manifolds smooth-manifolds tangent-spaces

Interior and boundary points of $n$-manifold with boundary

general-topology manifolds

fundamental group of manifold, Lee's text topological manifold

differential-geometry manifolds proof-explanation

Are adjoint representation matrices the generators of the Adjoint representation?

matrices manifolds lie-groups lie-algebras smooth-manifolds

Can manifold subsets always be made into submanifolds?

general-topology differential-geometry manifolds differential-topology smooth-manifolds

Embedding compact (boundaryless?) $n$-manifolds in $n$-dimensional real space

differential-geometry manifolds geometric-topology low-dimensional-topology

Show that a connected 1d manifold $M$ is homeomorphic to $\mathbb{R}$ or $S^1$ [duplicate]

general-topology manifolds

Counterexample Immersed Submanifold.

differential-geometry manifolds submanifold

In the Lie bracket $\mathcal L_X Y\equiv[X,Y]$ of vector fields, which integral curves are used?

differential-geometry manifolds lie-algebras smooth-manifolds lie-derivative

Can we generalize the regular value theorem even beyond the Ehresmann's theorem?

differential-geometry algebraic-topology manifolds fiber-bundles

What surface do we get by joining the opposite edges of a hexagon?

general-topology manifolds surfaces

Show that a connected 1d manifold M is homeomorphic to $\mathbb{R}$ or $S^1$

general-topology manifolds

In what kind of space does this object live?

geometry manifolds polytopes low-dimensional-topology

Tautological line bundle over $\mathbb{RP}^n$ isomorphic to normal bundle? Also "splitting" of transition functions

general-topology differential-geometry algebraic-topology manifolds differential-topology

Intuition for Exotic $\mathbb R^4$'s

manifolds geometric-topology smooth-manifolds gauge-theory surgery-theory

Does a simple subalgebra have to be an ideal of the larger algebra?

group-theory representation-theory manifolds lie-groups lie-algebras

Properties of the category of smooth vector bundles over a smooth manifold

differential-geometry category-theory manifolds vector-bundles