A class of locally $\varphi $-symmetric contact metric spaces

Autor:	E. Boeckx
Rok vydání:	1999
Předmět:	Metric space Pure mathematics Distribution (mathematics) General Mathematics Metric (mathematics) Mathematical analysis Vector field Field (mathematics) Product metric Mathematics::Differential Geometry Manifold Eigenvalues and eigenvectors Mathematics
Zdroj:	Archiv der Mathematik. 72:466-472
ISSN:	1420-8938 0003-889X
DOI:	10.1007/s000130050357
Popis:	We prove that a non-Sasakian contact metric manifold such that its characteristic vector field belongs to the \((k,\mu )\)-nullity distribution, is locally homogeneous. Further, these spaces are all locally \(\varphi \)-symmetric in the strong sense, i.e., the reflections with respect to characteristic curves are local isometries.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9e25ab04ea31372010f5721a3ea2f47f https://doi.org/10.1007/s000130050357 Zobrazit plný text záznamu Full text from SpringerLink