ALEKSEEVSKY, Dmitri, Ioannis CHRYSIKOS, Anna FINO and Alberto RAFFERO. Homogeneous 8-manifolds admitting invariant Spin(7)-structures. International Journal of Mathematics. Singapore: World Scientific Publishing Co Pte Ltd, 2020, vol. 31, No 8, p. 1-33. ISSN 0129-167X. Available from: https://dx.doi.org/10.1142/S0129167X20500603.
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Basic information
Original name Homogeneous 8-manifolds admitting invariant Spin(7)-structures
Authors ALEKSEEVSKY, Dmitri, Ioannis CHRYSIKOS, Anna FINO and Alberto RAFFERO.
Edition International Journal of Mathematics, Singapore, World Scientific Publishing Co Pte Ltd, 2020, 0129-167X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Singapore
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.688
Doi http://dx.doi.org/10.1142/S0129167X20500603
UT WoS 000569134200003
Tags RIV ne
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 26/5/2023 11:32.
Abstract
We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connected. For each presentation, we exhibit explicit examples of invariant Spin(7)-structures and we describe their type, according to Fernández classification. Finally, we analyze the associated Spin(7)-connection with torsion.
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