Reach of orbits for the isotropy representations of Riemannian symmetric spaces

M. Meshcheryakov

doi:10.1090/spmj/1888

July 9, 2026St Petersburg Mathematical Journal

Reach of orbits for the isotropy representations of Riemannian symmetric spaces

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Key Points

The aim is to calculate critical radii for generalized flag manifolds in Riemannian symmetric spaces.
The study focuses on the systems of bounded roots for Riemannian symmetric semisimple spaces.
Calculation of reaches based on the properties of Weyl groups.
Precise expressions for critical radii are obtained.
Correlation established between bounded roots and metric invariants.

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Abstract

The paper is devoted to precise calculation of metric invariants (called critical radii or reaches) for generalized flag manifolds in terms of systems of bounded roots for Riemannian symmetric semisimple spaces and the Weyl groups of these spaces.

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M. Meshcheryakov (2026) studied this question.

synapsesocial.com/papers/6a51e1f3c18d7f28ca501244 https://doi.org/10.1090/spmj/1888

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Reach of orbits for the isotropy representations of Riemannian symmetric spaces

Key Points

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Abstract

Discussion

Cite This Study

Reach of orbits for the isotropy representations of Riemannian symmetric spaces

Key Points

Ask about this paper

Abstract

Discussion

Cite This Study

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