The classification of naturally reductive homogeneous spaces in dimension 7 and 8

The classification of naturally reductive homogeneous spaces in dimension 7 and 8

Naturally reductive spaces are studied with the aim to classify them. The in this thesis developed theory contains a construction which produces many unknown non-normal homogeneous naturally reductive spaces. It is proved that this construction exhausts all naturally reductive spaces. This makes it...

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Bibliographic Details
Main Author: Storm, Reinier
Contributors: Agricola, Ilka (Prof.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2017
Subjects:
connection
Differential Geometry
homogeneous space
naturally reductive spaces,
Geometrie
Lie algebra
Algebra
Klassifikation
Mathematik
Mathematics
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Call Number: urn:nbn:de:hebis:04-z2017-05121
Publication Date: 2017-08-09
Date of Acceptance: 2017-04-28
Downloads: 13 (2023), 105 (2022), 130 (2021), 68 (2020), 27 (2019), 27 (2018)
License: According to UrhG § 31 (2), the author has granted the University Library Marburg the right of use for electronic publication on the Internet and for archiving on its archive server. He has declared that with the granting of the right of use according to UrhG § 31 (3) no exclusive rights of third parties are violated. All other rights for the exploitation of the publication remain with the author. https://rightsstatements.org/vocab/InC-NC/1.0/
Access URL: https://archiv.ub.uni-marburg.de/diss/z2017/0512
https://doi.org/10.17192/z2017.0512

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