On the indices of minimal orbits of Hermann actions
Naoyuki Koike
TL;DR
This paper provides a formula for calculating the indices of special minimal orbits in Hermann actions, along with examples demonstrating its application.
Contribution
It introduces a new formula for indices of non-totally geodesic minimal orbits in Hermann actions and applies it to specific examples.
Findings
Derived a formula for indices of special minimal orbits
Calculated indices for specific examples of Hermann actions
Enhanced understanding of minimal orbit geometry in Hermann actions
Abstract
We give a formula to calculate 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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research