On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton

The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding, shrinking or steady cases.

Bibliographic Details
Main Authors: Semsi Eken Meric, Erol Kilic
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2019-11-01
Series:Memoirs of the Scientific Sections of the Romanian Academy
Subjects:
Online Access:http://mss.academiaromana-is.ro/mem_sc_st_2019/6_Meric%20MSS%202019.pdf