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@article{2285878, author = {Alekseevsky, Dmitri and Chrysikos, Ioannis and Fino, Anna and Raffero, Alberto}, article_location = {Singapore}, article_number = {8}, doi = {http://dx.doi.org/10.1142/S0129167X20500603}, language = {eng}, issn = {0129-167X}, journal = {International Journal of Mathematics}, note = {Nevykazovat pro RIV. Afiliace autorů mimo MU.}, title = {Homogeneous 8-manifolds admitting invariant Spin(7)-structures}, url = {https://doi.org/10.1142/S0129167X20500603}, volume = {31}, year = {2020} }
TY - JOUR ID - 2285878 AU - Alekseevsky, Dmitri - Chrysikos, Ioannis - Fino, Anna - Raffero, Alberto PY - 2020 TI - Homogeneous 8-manifolds admitting invariant Spin(7)-structures JF - International Journal of Mathematics VL - 31 IS - 8 SP - 1-33 EP - 1-33 PB - World Scientific Publishing Co Pte Ltd SN - 0129167X N1 - Nevykazovat pro RIV. Afiliace autorů mimo MU. UR - https://doi.org/10.1142/S0129167X20500603 N2 - 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. ER -
ALEKSEEVSKY, Dmitri, Ioannis CHRYSIKOS, Anna FINO and Alberto RAFFERO. Homogeneous 8-manifolds admitting invariant Spin(7)-structures. \textit{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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