Totally geodesic submanifolds in exceptional symmetric spaces
type: Item
instance of: scholarly article
title: Totally geodesic submanifolds in exceptional symmetric spaces
author: Andreas Kollross
author: Alberto Rodríguez-Vázquez
published in: Advances in Mathematics
publication date: 2023-03-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/2202.10775
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 57S20
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 7666847
zbMATH Keywords: totally geodesic
zbMATH Keywords: exceptional
zbMATH Keywords: symmetric space
zbMATH Keywords: Dynkin index
MaRDI profile type: Publication
OpenAlex ID: W4323542745
cites work: Q4440586
cites work: Maximal totally geodesic submanifolds and index of symmetric spaces
cites work: The index of compact simple Lie groups
cites work: On the index of symmetric spaces
cites work: The index of exceptional symmetric spaces
cites work: The index conjecture for symmetric spaces
cites work: Les sous-groupes fermes de rang maximum des groupes de Lie clos
cites work: Q5807374
cites work: Totally geodesic submanifolds of symmetric spaces. I
cites work: Totally geodesic submanifolds of symmetric spaces. II
cites work: Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
cites work: A geometric proof of the Karpelevich-Mostow theorem
cites work: The maximal subgroups of the classical groups
cites work: Semisimple subalgebras of semisimple Lie algebras
cites work: Q3897665
cites work: Q4786341
cites work: Real forms of hermitian symmetric spaces
cites work: Anti-holomorphic automorphisms of the exceptional symmetric domains
cites work: Q5822890
cites work: Totally geodesic submanifolds of the complex quadric
cites work: Totally geodesic submanifolds of the complex and the quaternionic 2-Grassmannians
cites work: Totally geodesic submanifolds of the exceptional Riemannian symmetric spaces of rank 2
cites work: Duality of symmetric spaces and polar actions
cites work: Q3358915
cites work: Q4074048
cites work: Reflective submanifolds. III. Congruency of isometric reflective submanifolds and corrigenda to the classification of reflective submanifolds
cites work: Reflective submanifolds. IV: Classification of real forms of Hermitian symmetric spaces
cites work: Homogeneous Foliations of Spheres
cites work: Non-flat totally geodesic surfaces in symmetric spaces of classical type
cites work: Transformation groups of spheres
cites work: Q5848223
cites work: Q3909670
cites work: Q4284481
cites work: Lectures on real semisimple Lie algebras and their representations
cites work: Q3998356
cites work: Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
cites work: Q3062972
cites work: Elliptic spaces in Grassmann manifolds
DOI: 10.1016/J.AIM.2023.108949
description: scientific article; zbMATH DE number 7666847