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@article{1705616, author = {Kruglikov, Boris and Winther, Henrik}, article_location = {Singapore}, article_number = {11}, doi = {http://dx.doi.org/10.1142/S0129167X20500846}, keywords = {Symmetry dimension; automorphism group; quaternion-Hermitian manifolds; the gap phenomenon; Wolf space; quaternion-Kahler structure}, language = {eng}, issn = {0129-167X}, journal = {International Journal of Mathematics}, title = {Submaximally symmetric quaternion Hermitian structures}, url = {https://doi.org/10.1142/S0129167X20500846}, volume = {31}, year = {2020} }
TY - JOUR ID - 1705616 AU - Kruglikov, Boris - Winther, Henrik PY - 2020 TI - Submaximally symmetric quaternion Hermitian structures JF - International Journal of Mathematics VL - 31 IS - 11 SP - 1-25 EP - 1-25 PB - World Scientific Publishing Co Pte Ltd SN - 0129167X KW - Symmetry dimension KW - automorphism group KW - quaternion-Hermitian manifolds KW - the gap phenomenon KW - Wolf space KW - quaternion-Kahler structure UR - https://doi.org/10.1142/S0129167X20500846 L2 - https://doi.org/10.1142/S0129167X20500846 N2 - 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. ER -
KRUGLIKOV, Boris a Henrik WINTHER. Submaximally symmetric quaternion Hermitian structures. \textit{International Journal of Mathematics}. Singapore: World Scientific Publishing Co Pte Ltd, 2020, roč.~31, č.~11, s.~1-25. ISSN~0129-167X. Dostupné z: https://dx.doi.org/10.1142/S0129167X20500846.
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