On invariant submanifolds of (LCS)n-manifolds

Autor:	Shyamal Kumar Hui, Yoshio Matsuyama, Absos Ali Shaikh
Rok vydání:	2016
Předmět:	Pure mathematics 020209 energy lcsh:Mathematics Invariant submanifold 010102 general mathematics Mathematical analysis Totally geodesic 02 engineering and technology Submanifold lcsh:QA1-939 01 natural sciences Manifold (LCS)n-manifold Computer Science::Robotics Computer Science::Discrete Mathematics 0202 electrical engineering electronic engineering information engineering Mathematics::Differential Geometry 0101 mathematics Invariant (mathematics) Computer Science::Data Structures and Algorithms Mathematics::Symplectic Geometry Semiparallel submanifold 2-semiparallel submanifold Mathematics
Zdroj:	Journal of the Egyptian Mathematical Society, Vol 24, Iss 2, Pp 263-269 (2016)
ISSN:	1110-256X
DOI:	10.1016/j.joems.2015.05.008
Popis:	The object of the present paper is to study the invariant submanifolds of ( LCS ) n -manifolds. We study semiparallel and 2-semiparallel invariant submanifolds of ( LCS ) n -manifolds. Among others we study 3-dimensional invariant submanifolds of ( LCS ) n -manifolds. It is shown that every 3-dimensional invariant submanifold of a ( LCS ) n -manifold is totally geodesic.
Databáze:	OpenAIRE
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