Submaximally symmetric quaternion Hermitian structures

DOI10.1142/S0129167X20500846zbMath1455.53074arXiv1812.11229OpenAlexW3040697006MaRDI QIDQ5130982

Boris S. Kruglikov, Henrik Winther

Publication date: 31 October 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.11229

zbMATH Keywords

automorphism groupquaternionic Kähler structurequaternionic structuregap phenomenonWolf spacesymmetry dimensionalmost quaternion-Hermitian manifolds

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Group actions and symmetry properties (58D19) Local Riemannian geometry (53B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The gap phenomenon in parabolic geometries
• Almost quaternion-Hermitian manifolds with large automorphism group
• On maximal subgroups of real Lie groups
• Ricci curvature of left invariant metrics on solvable unimodular Lie groups
• Quaternionic Kaehler manifolds
• Submaximally symmetric almost quaternionic structures
• Einstein metrics on principal fibre bundles
• Almost quaternion-Hermitian manifolds
• On Infinitesimal Holonomy and Isotropy Groups
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS
• Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces
• Reconstruction from Representations: Jacobi via Cohomology

This page was built for publication: Submaximally symmetric quaternion Hermitian structures