The H\"ormander index in the finite-dimensional case
Symplectic Geometry
2018-05-15 v1
Abstract
In this paper, we calculate H\"ormander index in the finite-dimensional case. Then we use the result to give some iteration inequalities, and prove almost existence of mean indices for given complete autonomous Hamiltonian system on compact symplectic manifold with symplectic trivial tangent bundle and given autonomous Hamiltonian system on regular compact energy hypersurface of symplectic manifold with symplectic trivial tangent bundle.
Cite
@article{arxiv.1805.04674,
title = {The H\"ormander index in the finite-dimensional case},
author = {Yuting Zhou and Li Wu and Chaofeng Zhu},
journal= {arXiv preprint arXiv:1805.04674},
year = {2018}
}
Comments
Frontiers of Mathematics in China, 2018