Multiplicity-free representations and visible actions on complex manifolds

T Kobayashi - Proceedings of the Symposium on Representation …, 2005 - jstage.jst.go.jp
重複度1の表現と複素多様体上の 可視的な作用 Page 1 重複度1の表現と複素多様体上の 可視的
な作用 M u ltip lic ity -fre e re p re se n ta tio n s a n d v isib le a c tio n s o n c o m p le x m a n …

Visible actions on symmetric spaces

T Kobayashi - Transformation groups, 2007 - Springer
A visible action on a complex manifold is a holomorphic action that admits a J-transversal
totally real submanifold S. It is said to be strongly visible if there exists an orbit-preserving …

Propagation of multiplicity-freeness property for holomorphic vector bundles

T Kobayashi - Lie Groups: Structure, Actions, and Representations: In …, 2013 - Springer
We give a complete proof of a propagation theorem of multiplicity-free property from fibers to
spaces of global sections for holomorphic vector bundles. The propagation theorem is …

Singular Riemannian foliations and isoparametric submanifolds

G Thorbergsson - Milan journal of mathematics, 2010 - Springer
Singular Riemannian Foliations and Isoparametric Submanifolds Page 1 Singular Riemannian
Foliations and Isoparametric Submanifolds Gudlaugur Thorbergsson Abstract. We will explain …

Polar actions on symmetric spaces

A Kollross - Journal of Differential Geometry, 2007 - projecteuclid.org
We study isometric Lie group actions on symmetric spaces admitting a section, ie, a
submanifold that meets all orbits orthogonally at every intersection point. We classify such …

Topics in polar actions

C Gorodski - arxiv preprint arxiv:2208.03577, 2022 - arxiv.org
These are the notes for a series of lectures at the Institute of Geometry and Topology of the
University of Stuttgart, Germany, in July 13-15, 2022. We assume basic knowledge of …

Polar actions on symmetric spaces of higher rank

A Kollross, A Lytchak - Bulletin of the London Mathematical …, 2013 - academic.oup.com
We show that polar actions of cohomogeneity 2 on simple compact Lie groups of higher
rank, endowed with a biinvariant Riemannian metric, are hyperpolar. Combining this with a …

Totally geodesic submanifolds and polar actions on Stiefel manifolds

C Gorodski, A Kollross… - The Journal of Geometric …, 2025 - Springer
We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-
frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove that …

Recent advances in branching problems of representations

T Kobayashi - Sugaku Expositions, 2024 - ams.org
AMS :: Sugaku Expositions Skip to Main Content American Mathematical Society American
Mathematical Society MathSciNet Bookstore Publications Publications Home — Over 100 …

Some remarks on polar actions

C Gorodski, A Kollross - Annals of Global Analysis and Geometry, 2016 - Springer
Some remarks on polar actions | Annals of Global Analysis and Geometry Skip to main content
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