LATTICES AND PERIODIC GEODESICS IN PSEUDORIEMANNIAN 2-STEP NILPOTENT LIE GROUPS-Reference-Cited by-同舟云学术

LATTICES AND PERIODIC GEODESICS IN PSEUDORIEMANNIAN 2-STEP NILPOTENT LIE GROUPS

Published:2008-02 Issue:01 Volume:05 Page:79-99
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

CORDERO LUIS A.¹,PARKER PHILLIP E.²

Affiliation:

1. Dept. Xeometría e Topoloxía, Facultade de Matemáticas, Universidade de Santiago, 15782 Santiago de Compostela, Spain

2. Mathematics Department, Wichita State University, Wichita KS 67260-0033, USA

Abstract

We give a basic treatment of lattices Γ in these groups. Certain tori TF and TB provide the model fiber and the base for a submersion of Γ\N. This submersion may not be pseudoriemannian in the usual sense, because the tori may be degenerate. We then begin the study of periodic geodesics in these compact nilmanifolds, obtaining a complete calculation of the period spectrum of certain flat spaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887808002667

Reference22 articles.

1. Values of pseudoriemannian sectional cuvature

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