ON THE MASLOV INDEX IN A SYMPLECTIC REDUCTION AND APPLICATIONS

被引：1

作者：

Vitorio, Henrique ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Matemat, Recife, PE, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 08期

关键词：

Maslov index; symplectic reduction; focal points; electromagnetic Lagrangian systems; CONJUGATE; POINTS;

D O I：

10.1090/proc/14985

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a short and self-contained proof of an equality of Maslov indices in a linear symplectic reduction and apply it to obtain an equality of Maslov focal indices after reducing by symmetries an electromagnetic Lagrangian system.

引用

页码：3517 / 3526

页数：10

共 50 条

[1] Maslov P-Index Theory for a Symplectic Path with Applications
Chungen LIU School of Mathematics and LPMC
[J]. Chinese Annals of Mathematics,Series B, 2006, (04) : 441 - 458
[2] Maslov P-Index Theory for a Symplectic Path with Applications*
Chungen Liu
[J]. Chinese Annals of Mathematics, Series B, 2006, 27 : 441 - 458
[3] Maslov P-index theory for a symplectic path with applications
Liu, Chungen
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2006, 27 (04) : 441 - 458
[4] The Maslov Index in Symplectic Banach Spaces
不详
[J]. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 252 (1201) : 1 - +
[5] Maslov index and symplectic sturm theorems
Pushkar, PE
[J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1998, 32 (03) : 172 - 182
[6] Symplectic spinors, holonomy and Maslov index
Klein, Andreas
[J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2013, 62 (02) : 285 - 300
[7] Maslov index and symplectic sturm theorems
P. E. Pushkar'
[J]. Functional Analysis and Its Applications, 1998, 32 : 172 - 182
[8] The Maslov index in weak symplectic functional analysis
Booss-Bavnbek, Bernhelm
Zhu, Chaofeng
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2013, 44 (03) : 283 - 318
[9] Maslov (P, ω)-Index Theory for Symplectic Paths
Liu, Chungen
Tang, Shanshan
[J]. ADVANCED NONLINEAR STUDIES, 2015, 15 (04) : 963 - 990
[10] Maslov Index and Quasi-Symplectic isomorphisms
Wu, Jin
[J]. CONTEMPORARY MATHEMATICS, 2022, 3 (02): : 203 - 216

← 1 2 3 4 5 →