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agt
  • Member for 13 years, 2 months
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52 votes
9 answers
12k views

Is there a preferable convention for defining the wedge product?

20 votes
4 answers
3k views

What is the role of contact geometry in the hamiltonian mechanics?

17 votes
5 answers
2k views

Is there a coordinate-free proof of the hamiltonian character of the geodesic flow?

2 votes
0 answers
284 views

In search for a more geometric proof of a result of van der Schaft and Maschke on nonholonomic mechanics

5 votes
1 answer
561 views

Is there a Legendrian Neighbourhood Theorem also for non-cooriented contact manifolds?

1 vote
0 answers
293 views

Lagrangian complement in a symplectic vector bundle

10 votes
1 answer
2k views

The universal property of the Liouville $1$-form

5 votes
0 answers
375 views

Sophus Lie on the symplectic foliation theorem

6 votes
0 answers
497 views

How to prove that a certain action is hamiltonian?

5 votes
2 answers
6k views

On a proof of the existence of tubular neighborhoods.

3 votes
1 answer
1k views

What foliations are symplectic foliations?

6 votes
3 answers
927 views

Given a vector field all of whose integral curves are closed, is the period a smooth function?

42 votes
2 answers
4k views

About a letter by Richard Palais of 1965.

5 votes
2 answers
1k views

On the smooth structure of the spaces of $k$-jets

6 votes
1 answer
1k views

How the Jacobi metrics may be useful in mechanics with or without constraints?

5 votes
3 answers
2k views

The Lagrangian formulation of mechanics without going through variational principles.

3 votes
0 answers
174 views

What happens when Appell-Chetaev's rule for constrained mechanical systems is not applicable?

3 votes
1 answer
1k views

What are elementary applications of the Frobenius'Theorem in the Classical Differential Geometry?

5 votes
1 answer
667 views

On a remark in Foundations of mechanics, 2nd Edition, by Abraham and Marsden

1 vote
0 answers
95 views

Is there a reference for some notions relative to distributions of corank 1?

1 vote
0 answers
264 views

Geometric description of Jacobi's theorem on complete integrals of HJ eqn.

2 votes
1 answer
189 views

if $N$ is a submanifold of $M$, then what is the relation between $J^1 N$ and $J^1 M$?

10 votes
3 answers
1k views

How to motivate and interpret the geometric solutions of Hamilton-Jacobi equation?

4 votes
2 answers
537 views

The fibers of the momentum map for the $SO(n+1)$ symmetry of the geodesic flow on $S^n$

2 votes
1 answer
348 views

On the Complete integrability of a tangent distribution

3 votes
1 answer
612 views

On degenerate integrable hamiltonian systems

3 votes
2 answers
527 views

what are the killing vector fields on a triaxial ellipsoid?

1 vote
1 answer
811 views

About the geometry of completely integrable systems

4 votes
2 answers
2k views

On the proof of the hamiltonian flow box theorem

4 votes
1 answer
851 views

Do the focal points of a submanifold $M$ in $\mathbb{R}^k$ form a closed subset?