Infinitesimal Transformations of Locally Conformal Kähler Manifolds

Infinitesimal Transformations of Locally Conformal Kähler Manifolds

The article is devoted to infinitesimal transformations. We have obtained that LCK-manifolds do not admit nontrivial infinitesimal projective transformations. Then we study infinitesimal conformal transformations of LCK-manifolds. We have found the expression for the Lie derivative of a Lee form. We...

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Bibliographic Details
Main Authors: Yevhen Cherevko, Volodymyr Berezovski, Irena Hinterleitner, Dana Smetanová
Format: Article
Language:English
Published: MDPI AG 2019-07-01
Series:Mathematics
Subjects:
Hermitian manifold
locally conformal Kähler manifold
Lee form
diffeomorphism
conformal transformation
Lie derivative
Online Access:https://www.mdpi.com/2227-7390/7/8/658

Internet

https://www.mdpi.com/2227-7390/7/8/658

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