Question

Showing that $\bar\partial_J$ is a smooth section of Banach bundle

score 179 · Answer 1 · 2026-03-25 13:04:57

Showing that $\bar\partial_J$ is a smooth section of Banach bundle

Published on 25 Mar 2026 - 13:04

score 229 · Answer 2 · 2026-03-25 13:13:22

Can one always find a basis of global vector fields $X_0 , \ldots , X_n$ for the tangent space $T_p M$ for a manifold $M$?

score 56 · Answer 3 · 2026-03-25 13:13:27

56

Views

Let a compact group $G$ act on a manifold $M$. Why does G act as a group of automorphisms on $H^p (M, \mathbb{R})$?

Published on 25 Mar 2026 - 13:13

score 67 · Answer 4 · 2026-03-25 13:13:23

67

Views

$G$ is a Lie group and $M$ a manifold. What does it mean that $G$ acts as a group of automorphism on $H^p (M, \mathbb{R} )$?

Published on 25 Mar 2026 - 13:13

score 35 · Answer 5 · 2026-03-25 13:13:23

35

Views

Let $G$ act smoothly on $M$, $(g,m) \rightarrow t_g (m) $ from the left. Why is $t_g \simeq id $ if $G$ connected?

Published on 25 Mar 2026 - 13:13

score 861 · Answer 6 · 2026-03-25 13:13:31

861

Views

one parameter family of diffeomorphism $\phi_{t}$ of $\mathbb{R}^2$

Published on 25 Mar 2026 - 13:13

score 124 · Answer 7 · 2026-04-10 21:21:08

124

Views

Why harmonicity is a local property?

Published on 10 Apr 2026 - 21:21

score 119 · Answer 8 · 2026-03-25 13:04:48

119

Views

Has this functional been studied somewhere?

Published on 25 Mar 2026 - 13:04

score 149 · Answer 9 · 2026-03-25 13:04:41

149

Views

Diffeomorphisms and their derivatives

Published on 25 Mar 2026 - 13:04

score 173 · Answer 10 · 2026-03-25 13:13:32

173

Views

Existence of canonical connection on trivial Banach bundle

Published on 25 Mar 2026 - 13:13

score 730 · Answer 11 · 2026-04-16 22:44:20

730

Views

Prove that solution blows up in finite time

Published on 16 Apr 2026 - 22:44

score 37 · Answer 12 · 2026-05-10 13:51:02

37

Views

How to show that $\left\{x^\in X \mid \limsup_{y \to x,\;\|y\|=1}\frac{\langle x^,y-x\rangle}{\|y-x\|} \le 0\right\} = \mathbb R x$ if $\|x\|=1$

Published on 10 May 2026 - 13:51

score 78 · Answer 13 · 2026-04-13 23:08:19

78

Views

Technical Question: smoothness of $C^p$ $(2\le p<\infty)$ charts in Frobenius Theorem in Lang's Fundamentals of Differential Geometry (1999)

Published on 13 Apr 2026 - 23:08

score 65 · Answer 14 · 2026-04-14 08:59:05

65

Views

Is a a small perturbation of proper map still proper?

Published on 14 Apr 2026 - 8:59

score 194 · Answer 15 · 2026-04-17 05:12:02

194

Views

Asymptotic expansion of elliptic integrals of 1st and 2nd kind as m approaches 0

Published on 17 Apr 2026 - 5:12

List Question

Showing that $\bar\partial_J$ is a smooth section of Banach bundle

Can one always find a basis of global vector fields $X_0 , \ldots , X_n$ for the tangent space $T_p M$ for a manifold $M$?

Let a compact group $G$ act on a manifold $M$. Why does G act as a group of automorphisms on $H^p (M, \mathbb{R})$?

$G$ is a Lie group and $M$ a manifold. What does it mean that $G$ acts as a group of automorphism on $H^p (M, \mathbb{R} )$?

Let $G$ act smoothly on $M$, $(g,m) \rightarrow t_g (m) $ from the left. Why is $t_g \simeq id $ if $G$ connected?

one parameter family of diffeomorphism $\phi_{t}$ of $\mathbb{R}^2$

Why harmonicity is a local property?

Has this functional been studied somewhere?

Diffeomorphisms and their derivatives

Existence of canonical connection on trivial Banach bundle

Prove that solution blows up in finite time

How to show that $\left\{x^\in X \mid \limsup_{y \to x,\;\|y\|=1}\frac{\langle x^,y-x\rangle}{\|y-x\|} \le 0\right\} = \mathbb R x$ if $\|x\|=1$

Technical Question: smoothness of $C^p$ $(2\le p<\infty)$ charts in Frobenius Theorem in Lang's Fundamentals of Differential Geometry (1999)

Is a a small perturbation of proper map still proper?

Asymptotic expansion of elliptic integrals of 1st and 2nd kind as m approaches 0

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