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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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