C-projective symmetries of submanifolds in quaternionic geometry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00108244" target="_blank" >RIV/00216224:14310/19:00108244 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10455-018-9631-3" target="_blank" >https://link.springer.com/article/10.1007/s10455-018-9631-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-018-9631-3" target="_blank" >10.1007/s10455-018-9631-3</a>
Alternative languages
Result language
angličtina
Original language name
C-projective symmetries of submanifolds in quaternionic geometry
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Global Analysis and Geometry
ISSN
0232-704X
e-ISSN
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Volume of the periodical
55
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
22
Pages from-to
395-416
UT code for WoS article
000463599800001
EID of the result in the Scopus database
2-s2.0-85054561630