C-projective symmetries of submanifolds in quaternionic geometry

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

C-projective symmetries of submanifolds in quaternionic geometry

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

C-projective symmetries of submanifolds in quaternionic geometry

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of Global Analysis and Geometry

ISSN

0232-704X

e-ISSN

—

Svazek periodika

55

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

395-416

Kód UT WoS článku

000463599800001

EID výsledku v databázi Scopus

2-s2.0-85054561630