Conformal holomorphically projective mappings satisfying a certain initial condition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F13%3A43870698" target="_blank" >RIV/70883521:28140/13:43870698 - isvavai.cz</a>
Result on the web
<a href="http://mat76.mat.uni-miskolc.hu/~mnotes/index.php?page=article&name=mmn_917" target="_blank" >http://mat76.mat.uni-miskolc.hu/~mnotes/index.php?page=article&name=mmn_917</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Conformal holomorphically projective mappings satisfying a certain initial condition
Original language description
In this paper we study conformal holomorphically projective mappings between conformal e-Kähler manifolds Kn=(M, g, F ) and Kn=( M, g, F ), i. e. diffeomorphisms from M to M satisfying f = f1 o f2 o f3, where f1, f3 are conformal mappings and f2 is a holomorphically projective mapping between e-Kähler manifolds (i. e. Kähler, pseudo-Kähler and hyperbolic Kähler manifolds). Suppose that the initial condition f * g = k . g is satisfied at a point x0 belongs to M and that at this point the Weyl conformal tensor satisfies a certain inequality. We prove that the mapping f is then necessarily conformal.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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