Hokkaido Mathematical Journal

On the indices of minimal orbits of Hermann actions

Naoyuki KOIKE

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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.

Article information

Hokkaido Math. J., Volume 44, Number 2 (2015), 251-275.

First available in Project Euclid: 1 August 2016

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C40: Global submanifolds [See also 53B25] 53C35: Symmetric spaces [See also 32M15, 57T15]

Symmetric space Hermann action index Jacobi operator Casimir operator


KOIKE, Naoyuki. On the indices of minimal orbits of Hermann actions. Hokkaido Math. J. 44 (2015), no. 2, 251--275. doi:10.14492/hokmj/1470053293. https://projecteuclid.org/euclid.hokmj/1470053293

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