Open Access
June 2015 On the indices of minimal orbits of Hermann actions
Naoyuki KOIKE
Hokkaido Math. J. 44(2): 251-275 (June 2015). DOI: 10.14492/hokmj/1470053293

Abstract

We give a formula to determine the indices of special (non-totally geodesic) minimal orbits of Hermann actions. Also, we give examples of such minimal orbits of Hermann actions and calculate their indices by using the formula.

Citation

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Naoyuki KOIKE. "On the indices of minimal orbits of Hermann actions." Hokkaido Math. J. 44 (2) 251 - 275, June 2015. https://doi.org/10.14492/hokmj/1470053293

Information

Published: June 2015
First available in Project Euclid: 1 August 2016

zbMATH: 1383.53043
MathSciNet: MR3532109
Digital Object Identifier: 10.14492/hokmj/1470053293

Subjects:
Primary: 53C35 , 53C40

Keywords: Casimir operator , Hermann action , Index , Jacobi operator , Symmetric space

Rights: Copyright © 2015 Hokkaido University, Department of Mathematics

Vol.44 • No. 2 • June 2015
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