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Graduate student in mathematics.


1d
answered Centralizers of connected linear group and its Lie algebra
2d
comment Centralizers of connected linear group and its Lie algebra
Is $H$ connected?
May
7
comment Figure $\infty$ is immersion of circle
The statement is correct; there is an injective immersion.
May
7
answered Does Differential Topology or Differential Geometry play a larger role in Chaos Theory?
May
1
comment Basic question about definition of Chern classes
@KevinCarlson: Chern classes are only defined for complex vector bundles.
May
1
comment Basic question about definition of Chern classes
See the discussion here: mathoverflow.net/questions/16632/…
May
1
comment Basic question about definition of Chern classes
A real vector bundle is also a finitely generated module over continuous functions (at least for M compact).
Apr
30
answered normal form of an n-form
Apr
30
revised Are Clifford groups very *non-commutative*?
added 13 characters in body
Apr
30
answered Are Clifford groups very *non-commutative*?
Apr
27
comment Degree of maps on the 3-sphere
Is $\pi_3 G = \mathbb Z$ enough to imply the statement that any map (up to homotopy) $S^3 \to G$ factors through an $SU(2)$ or $SO(3)$ subgroup? I can see how to get this for something like $SU(n)$ (since $\pi_k SU(n) = \pi_k SU(n-1)$) but what about in general? Does the inclusion of an $SU(2)$ or $SO(3)$ subgroup always induce an isomorphism on $\pi_3$?
Apr
27
comment Degree of maps on the 3-sphere
This reference says this comes from a theorem of Bott books.google.com/…
Apr
27
comment Is the Structure Group of a Fibre Bundle Well-Defined?
@DaveHartman: thanks for the catch. I've edited my answer accordingly.
Apr
27
revised Is the Structure Group of a Fibre Bundle Well-Defined?
deleted 4 characters in body
Apr
26
awarded  Nice Answer
Apr
26
answered Poisson bracket of coordinates
Apr
26
comment Motivation for the study of the Chern connection
I think the name is actually pretty standard, at least I can think of many texts that use it.
Apr
26
comment Motivation for the study of the Chern connection
Isn't this just the definition of a holomorphic structure? I don't see where you need the chern connection for this.
Apr
25
comment Do sections defined in different patches give the same element in an associated bundle?
What is your question?
Apr
24
revised Prove that a tensor field is of type (1,2)
edited tags