User Tobias Diez

22 votes

Hamiltonian, Lagrangian and Newton formalism of mechanics

answered Mar 14, 2017 at 10:26

18 votes

Accepted

Geometric interpretation of horizontal and vertical lift of vector field

answered Aug 1, 2016 at 15:15

11 votes

Hodge decomposition of smooth n-forms: is it an isomorphism of topological vector spaces?

answered May 14 at 8:12

9 votes

are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle?

answered Nov 9, 2013 at 9:56

8 votes

Accepted

Is the space of connections modulo gauge equivalence paracompact?

answered Aug 21, 2017 at 11:24

8 votes

Nash isometric embedding theorem with keeping the symplectic structures of our ambient spaces

answered Sep 25, 2018 at 21:08

8 votes

Accepted

Smooth structure on the space of sections of a fiber bundle and gauge group

answered Dec 13, 2018 at 15:51

8 votes

arXiv number and mathscinet

answered Mar 22, 2020 at 20:54

7 votes

Functional approach vs jet approach to Lagrangian field theory

answered Dec 29, 2019 at 11:20

7 votes

Accepted

General wedge-product for vector bundle valued forms

answered Aug 2, 2021 at 11:34

7 votes

Accepted

Equivariant implicit function theorem

answered Aug 26, 2021 at 14:17

7 votes

Accepted

Submersion theorem for smooth tame Frechet manifolds

answered Aug 12, 2015 at 10:38

6 votes

Connections having the same holonomy along loops at a point

answered Mar 23, 2015 at 20:02

6 votes

Accepted

Exponential mapping versus flow

answered Feb 19, 2014 at 16:53

6 votes

Smooth curves in a Frechet space

answered Nov 13, 2014 at 9:28

6 votes

The Precise Meaning of the Moduli Space of Flat Connections?

answered Oct 29, 2018 at 17:21

6 votes

Accepted

Recovering topological invariants of symplectic manifold from the group of Hamiltonian diffeomorphisms?

answered Jun 11, 2018 at 19:51

6 votes

Accepted

Is there a Riemannian submersion from $Gl(2,\mathbb{R})$ to the Poincare half plane?

answered Dec 21, 2018 at 16:15

6 votes

Is there a high level reason why the inverse square law of gravitation yields periodic orbits without precession?

answered Oct 17, 2019 at 12:51

6 votes

Compressible Ebin-Marsden?

answered Dec 4, 2021 at 10:28

5 votes

Accepted

Proof of the Hamiltonian slice theorem

answered Dec 9, 2021 at 20:36

5 votes

Understanding the slice theorem

answered Dec 12, 2021 at 18:12

5 votes

Accepted

Quotient by freely acting group on Banach manifold

answered Jun 18, 2023 at 9:39

5 votes

Illustrating mathematics with wysiwyg tools

answered Mar 1, 2018 at 9:57

5 votes

Accepted

Atiyah Sequence and Connections on a Principal Bundle

answered May 6, 2019 at 18:52

5 votes

Lifting a diffeomorphism into a spinor bundle automorphism

answered Nov 7, 2018 at 14:44

5 votes

Intuition for failure of Implicit Function theorem on Frechet Manifolds

answered Jun 29, 2013 at 11:30

5 votes

Accepted

Yang-Mills Functional and Energy

answered Mar 8, 2015 at 14:04

4 votes

Accepted

Curvature of a principal bundle and the exterior covariant derivative

answered Mar 30, 2015 at 21:35

4 votes

Topology on the dual of a Frechet space

answered Jul 24, 2014 at 11:19

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61 Answers

Hamiltonian, Lagrangian and Newton formalism of mechanics

Geometric interpretation of horizontal and vertical lift of vector field

Hodge decomposition of smooth n-forms: is it an isomorphism of topological vector spaces?

are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle?

Is the space of connections modulo gauge equivalence paracompact?

Nash isometric embedding theorem with keeping the symplectic structures of our ambient spaces

Smooth structure on the space of sections of a fiber bundle and gauge group

arXiv number and mathscinet

Functional approach vs jet approach to Lagrangian field theory

General wedge-product for vector bundle valued forms

Equivariant implicit function theorem

Submersion theorem for smooth tame Frechet manifolds

Connections having the same holonomy along loops at a point

Exponential mapping versus flow

Smooth curves in a Frechet space

The Precise Meaning of the Moduli Space of Flat Connections?

Recovering topological invariants of symplectic manifold from the group of Hamiltonian diffeomorphisms?

Is there a Riemannian submersion from $Gl(2,\mathbb{R})$ to the Poincare half plane?

Is there a high level reason why the inverse square law of gravitation yields periodic orbits without precession?

Compressible Ebin-Marsden?

Proof of the Hamiltonian slice theorem

Understanding the slice theorem

Quotient by freely acting group on Banach manifold

Illustrating mathematics with wysiwyg tools

Atiyah Sequence and Connections on a Principal Bundle

Lifting a diffeomorphism into a spinor bundle automorphism

Intuition for failure of Implicit Function theorem on Frechet Manifolds

Yang-Mills Functional and Energy

Curvature of a principal bundle and the exterior covariant derivative

Topology on the dual of a Frechet space