List questions from manifolds

Published on 26 Mar 2026 - 17:52

50

Views

The domain of derivative of a function defined on a manifold

Published on 13 Apr 2026 - 7:56

52

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Isometry Invariance of the Inner Product in $L^2(M)$

Published on 13 Apr 2026 - 7:20

75

Views

Is the set $\{ x,y \in \mathbb{R} \,|\,x^3+y^3 = 1\}$ a manifold?

Published on 29 Mar 2026 - 17:04

71

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Can a differentiable manifold be defined the same as a manifold but with the requirement of being diffeomorphic to $\mathbb{R}^n$?

Published on 13 Apr 2026 - 2:25

22

Views

Manifold based on Grassmann numbers?

Published on 10 Apr 2026 - 11:42

60

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$f:M\to N$ is smooth iff $\forall g\in C^\infty(N)$, $g\circ f\in C^\infty(M)$

Published on 28 Mar 2026 - 5:23

47

Views

Does a level set of a harmonic function have an analytic parametrisation?

Published on 10 Apr 2026 - 21:28

69

Views

Codimension one rational cohomology groups vs Codimension one mod 2 cohomology groups

Published on 19 May 2023 - 11:32

149

Views

Proper notation for integration on manifolds?

Published on 25 Mar 2026 - 20:33

193

Views

Does every surface admit a quadrangulation?

Published on 25 Mar 2026 - 17:35

72

Views

is this set already closed?

Published on 26 Mar 2026 - 3:19

69

Views

Prove that if $M$ is simply connected and $H^2(g) = 0$, then $M$ is symplectomorphic to an adjoint orbit.

Published on 28 Mar 2026 - 14:00

53

Views

Confusion in showing that the graph of a smooth function is a manifold

Published on 22 May 2023 - 16:00

64

Views

Critical points theorem for regular surfaces

Published on 12 Apr 2026 - 8:17

List Question

Confusion about notation for orientation of boundary

The domain of derivative of a function defined on a manifold

Isometry Invariance of the Inner Product in $L^2(M)$

Is the set $\{ x,y \in \mathbb{R} \,|\,x^3+y^3 = 1\}$ a manifold?

Can a differentiable manifold be defined the same as a manifold but with the requirement of being diffeomorphic to $\mathbb{R}^n$?

Manifold based on Grassmann numbers?

$f:M\to N$ is smooth iff $\forall g\in C^\infty(N)$, $g\circ f\in C^\infty(M)$

Does a level set of a harmonic function have an analytic parametrisation?

Codimension one rational cohomology groups vs Codimension one mod 2 cohomology groups

Proper notation for integration on manifolds?

Does every surface admit a quadrangulation?

is this set already closed?

Prove that if $M$ is simply connected and $H^2(g) = 0$, then $M$ is symplectomorphic to an adjoint orbit.

Confusion in showing that the graph of a smooth function is a manifold

Critical points theorem for regular surfaces

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