Examples of certain kind of minimal orbits of Hemann actions
Naoyuki Koike
TL;DR
This paper provides examples of specific minimal orbits in Hermann actions and examines their austere properties, contributing to the understanding of geometric structures in symmetric spaces.
Contribution
It introduces new examples of minimal orbits in Hermann actions and analyzes their austerity, expanding the classification of such geometric objects.
Findings
Examples of minimal orbits are constructed.
Some orbits are shown to be austere.
Insights into the geometry of Hermann actions are provided.
Abstract
We give examples of certain kind of minimal orbits of Hermann actions and discuss whether each of the examples is austere.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Advanced Operator Algebra Research