Quaere Verum's user avatar
Quaere Verum's user avatar
Quaere Verum's user avatar
Quaere Verum
  • Member for 6 years, 6 months
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8 votes

Parallel transport on the Group manifold

8 votes
Accepted

Allendoerfer and Weil's generalization of Gauss-Bonnet Theorem

7 votes
Accepted

Smooth $r$-form as the exterior product of $r$ $1$-forms

6 votes
Accepted

Can we make homology from interior derivative (interior product)?

6 votes
Accepted

Why does the adjoint representation appear in the definition of a connection 1-form?

5 votes
Accepted

Is covariant derivative of the connection one-form defined?

5 votes
Accepted

Connection between (1,1) tensors and maps of vector fields

5 votes
Accepted

The divergence operator as an element of $T_pM$ (if it does make any sense)

5 votes
Accepted

Why can't a fiber bundle be written as a cartesian product?

5 votes

Is their any relation between stiefel-whitney class and obstruction to lift SO(3) to SU(2)?

5 votes
Accepted

Pullbacks respect order of forms

5 votes

Integral of symplectic form?

4 votes
Accepted

Vanishing first Chern class implies existence of flat connection

4 votes

How restricted is the curvature of a manifold by choice of topology keeping the underlying set fixed?

4 votes
Accepted

Proving Chern forms are closed via Bianchi identity

4 votes
Accepted

If the product of a $k$ form with any $n-k$ form vanishes, then the form is $0$

4 votes

Doubt on connection notions for the tangent bundle $T\mathcal{M}$

4 votes
Accepted

Extending holomorphic 1-forms

4 votes
Accepted

Difference between measure-theoretic integral and differential-geometric integral

4 votes
Accepted

Second structural equation on complex/holomorphic vector bundles

4 votes
Accepted

Show that any almost complex structure is induced by at most one complex structure.

3 votes
Accepted

Concept relation between tangent vector of smooth function and the mapping of a vector to this smooth function

3 votes
Accepted

Existence of a Global Trivialization of Pullback Bundle

3 votes

How does a trivial canonical bundle for a 2-dimensional complex surface imply the existence of a nowhere vanishing 2-form

3 votes
Accepted

Lifting diffeomorphisms in $S^2$ by the Hopf fibration.

2 votes
Accepted

Integration of $\mathbb{d}\mathbb{d}^{*}+\mathbb{d}^{*}\mathbb{d}$ on manifolds with boundary

2 votes
Accepted

Is a Disc in $\mathbb R^2$ a symplectic manifold?

2 votes
Accepted

Is the cohomology of the dual operator of exterior differential operator isomorphic to homology?

2 votes

Why the "horizontal" in exterior covariant derivative

2 votes
Accepted

Bott-Chern cohomology of the polydisc in $\mathbb{C}^n$