Question

Spheres have contact structure but no symplectic structure

score 247 · Answer 1 · 2026-03-25 04:38:57

247

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Spheres have contact structure but no symplectic structure

Published on 25 Mar 2026 - 4:38

score 122 · Answer 2 · 2026-03-25 20:41:54

122

Views

Expression for $\nabla_{JX} Y$ on a Kähler manifold

Published on 25 Mar 2026 - 20:41

score 117 · Answer 3 · 2026-03-25 20:36:17

117

Views

Does the complex structure of a Kähler manifold preserves the Lie algebra of symplectic vector fields

Published on 25 Mar 2026 - 20:36

score 147 · Answer 4 · 2026-03-25 11:16:45

147

Views

Curvature of canonical connection on 4-manifold with self-dual harmonic 2 form

Published on 25 Mar 2026 - 11:16

score 203 · Answer 5 · 2020-03-08 22:11:01

203

Views

Does a Hamiltonian-preserving, symplectic vector field provide an integral of motion?

Published on 08 Mar 2020 - 22:11

score 270 · Answer 6 · 2020-03-09 02:43:08

270

Views

Symplectomorphisms of $S^2$

Published on 09 Mar 2020 - 2:43

score 67 · Answer 7 · 2026-03-26 19:11:14

67

Views

Lagrangian mechanics: geodesic paths are critical points of the action

Published on 26 Mar 2026 - 19:11

score 285 · Answer 8 · 2020-03-11 16:49:06

285

Views

Are coadjoint orbits symplectic manifolds?

Published on 11 Mar 2020 - 16:49

score 111 · Answer 9 · 2020-03-12 16:37:47

111

Views

What is the connection map?

Published on 12 Mar 2020 - 16:37

score 105 · Answer 10 · 2020-03-13 10:27:45

105

Views

Showing there is a symplectomorphism of $(T^{} M, \omega_{T^{}M})$ satisfying this property

Published on 13 Mar 2020 - 10:27

score 115 · Answer 11 · 2026-03-26 16:09:51

115

Views

symplectic form, tautological 1-form and DeRham cohomology

Published on 26 Mar 2026 - 16:09

score 70 · Answer 12 · 2020-03-17 12:36:23

70

Views

Restriction on the number of component functions if Poisson brackets vanish?

Published on 17 Mar 2020 - 12:36

score 41 · Answer 13 · 2020-03-17 15:23:50

41

Views

Classification of symplectic surfaces and confusion about "symplectomorphism"

Published on 17 Mar 2020 - 15:23

score 356 · Answer 14 · 2020-03-19 08:28:15

356

Views

Associating the Hamiltonian vector field $X_f$ to a function $f$ is a Lie algebra homomorphism

Published on 19 Mar 2020 - 8:28

score 211 · Answer 15 · 2020-03-19 17:00:33

211

Views

Construction of a non-autonomous Hamiltonian diffeomorphism

Published on 19 Mar 2020 - 17:00

List Question

Spheres have contact structure but no symplectic structure

Expression for $\nabla_{JX} Y$ on a Kähler manifold

Does the complex structure of a Kähler manifold preserves the Lie algebra of symplectic vector fields

Curvature of canonical connection on 4-manifold with self-dual harmonic 2 form

Does a Hamiltonian-preserving, symplectic vector field provide an integral of motion?

Symplectomorphisms of $S^2$

Lagrangian mechanics: geodesic paths are critical points of the action

Are coadjoint orbits symplectic manifolds?

What is the connection map?

Showing there is a symplectomorphism of $(T^{} M, \omega_{T^{}M})$ satisfying this property

symplectic form, tautological 1-form and DeRham cohomology

Restriction on the number of component functions if Poisson brackets vanish?

Classification of symplectic surfaces and confusion about "symplectomorphism"

Associating the Hamiltonian vector field $X_f$ to a function $f$ is a Lie algebra homomorphism

Construction of a non-autonomous Hamiltonian diffeomorphism

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