Submaximally symmetric quaternion Hermitian structures

• Autoři: KRUGLIKOV Boris; WINTHER Henrik
• Rok publikování: 2020
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: International Journal of Mathematics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1142/S0129167X20500846
• Doi: http://dx.doi.org/10.1142/S0129167X20500846
• Klíčová slova: Symmetry dimension; automorphism group; quaternion-Hermitian manifolds; the gap phenomenon; Wolf space; quaternion-Kahler structure
• Popis: We consider and resolve the gap problem for almost quaternion-Hermitian structures, i.e. we determine the maximal and submaximal symmetry dimensions, both for Lie algebras and Lie groups, in the class of almost quaternion-Hermitian manifolds. We classify all structures with such symmetry dimensions. Geometric properties of the submaximally symmetric spaces are studied, in particular, we identify locally conformally quaternion-Kahler structures as well as quaternion-Kahler with torsion.

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku