Detailed Information on Publication Record
2019
C-projective symmetries of submanifolds in quaternionic geometry
BORÓWKA, Aleksandra Wiktoria and Henrik WINTHERBasic information
Original name
C-projective symmetries of submanifolds in quaternionic geometry
Authors
BORÓWKA, Aleksandra Wiktoria (616 Poland) and Henrik WINTHER (578 Norway, guarantor, belonging to the institution)
Edition
Annals of Global Analysis and Geometry, Springer P.O. AH Dordrecht, Springer, 2019, 0232-704X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 0.989
RIV identification code
RIV/00216224:14310/19:00108244
Organization unit
Faculty of Science
UT WoS
000463599800001
Keywords in English
c-projective structure; Quaternionic structure; Symmetries; Submaximally symmetric spaces; Calabi metric
Tags
Změněno: 3/4/2020 10:34, Mgr. Marie Šípková, DiS.
Abstract
V originále
The generalized Feix-Kaledin construction shows that c-projective 2n-manifolds with curvature of type (1,1) are precisely the submanifolds of quaternionic 4n-manifolds which are fixed-point set of a special type of quaternionic circle action. In this paper, we consider this construction in the presence of infinitesimal symmetries of the two geometries. First, we prove that the submaximally symmetric c-projective model with type (1,1) curvature is a submanifold of a submaximally symmetric quaternionic model and show how this fits into the construction. We give conditions for when the c-projective symmetries extend from the fixed-point set of the circle action to quaternionic symmetries, and we study the quaternionic symmetries of the Calabi and Eguchi-Hanson hyperkahler structures, showing that in some cases all quaternionic symmetries are obtained in this way.
Links
| GBP201/12/G028, research and development project |
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