A Classification of Three-dimensional Real Hypersurfaces in Non-flat Complex Space Forms in Terms of their Generalized Tanaka–Webster Lie Derivative

Autor:	Konstantina Panagiotidou, Juan de Dios Pérez, George Kaimakamis
Rok vydání:	2016
Předmět:	010101 applied mathematics Hypersurface Complex space General Mathematics 010102 general mathematics Mathematical analysis Structure (category theory) Vector field Lie derivative 0101 mathematics 01 natural sciences Connection (mathematics) Mathematics
Zdroj:	Canadian Mathematical Bulletin. 59:813-823
ISSN:	1496-4287 0008-4395
DOI:	10.4153/cmb-2016-042-2
Popis:	On a real hypersurface M in a non-flat complex space form there exist the Levi–Civita and the k-th generalized Tanaka–Webster connections. The aim of this paper is to study three dimensional real hypersurfaces in non-flat complex space forms, whose Lie derivative of the structure Jacobi operatorwith respect to the Levi–Civita connection coincides with the Lie derivative of it with respect to the k-th generalized Tanaka-Webster connection. The Lie derivatives are considered in direction of the structure vector field and in direction of any vector field orthogonal to the structure vector field.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7fc19828be60ff00efb1a238c02c26e4 https://doi.org/10.4153/cmb-2016-042-2 Zobrazit plný text záznamu