Homogeneous 8-manifolds admitting invariant Spin(7)-structures-Reference-Cited by-同舟云学术

Homogeneous 8-manifolds admitting invariant Spin(7)-structures

Published:2020-07 Issue:08 Volume:31 Page:2050060
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Alekseevsky Dmitri¹²,Chrysikos Ioannis²^ORCID,Fino Anna³,Raffero Alberto³

Affiliation:

1. Institute for Information Transmission Problems, B. Karetny Per. 19, 127051 Moscow, Russia

2. Faculty of Science, University of Hradec Králové, Rokitanskeho 62 Hradec Králové 50003, Czech Republic

3. Dipartimento di Matematica “G. Peano”, Università Degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

Abstract

We study compact, simply connected, homogeneous 8-manifolds admitting invariant [Formula: see text]-structures, classifying all canonical presentations [Formula: see text] of such spaces, with [Formula: see text] simply connected. For each presentation, we exhibit explicit examples of invariant [Formula: see text]-structures and we describe their type, according to Fernández classification. Finally, we analyze the associated [Formula: see text]-connection with torsion.

Funder

Czech Science Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X20500603

Reference33 articles.

1. SPIN STRUCTURES ON COMPACT HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS

2. The Alekseevskii conjecture in low dimensions

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. CR-twistor spaces over manifolds with $$G_2$$- and Spin(7)-structures;Annali di Matematica Pura ed Applicata (1923 -);2023-02-10

2. Clifford systems, Clifford structures, and their canonical differential forms;Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg;2020-12-08