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Category: Issue 11

On Pre-generalized c*-homeomorphisms in topological spaces

S. MALATHI
Assistant Professor, Department of Mathematics, Wavoo Wajeeha Womenu2019s College of Arts and Science, Kayalpatnam, Tiruchendur-628215, Tamilnadu (India)
S. NITHYANANTHA JOTHI
Assistant Professor, Department of Mathematics, Aditanar College of Arts and Science, Tiruchendur- 628215, Tamilnadu (India)

ABSTRACT:

The aim of this paper is to introduce the notion of pre-generalized c*-homeomorphisms in topological spaces and study their basic properties

KEYWORDS: pgc*-open maps, pgc*-continuous functions, pgc*- homeomorphisms


The aim of this paper is to introduce the notion of pre-generalized c*-homeomorphisms in topological spaces and study their basic properties

*-Ricci Solitons on Kenmotsu Manifold

SUSHIL SHUKLA
Department of Applied Science (Mathematics) Madan Mohan Malaviya University of Technolog,Gorakhpur (UP) (India)
SHIKHA TIWARI
Department of Applied Science (Mathematics) Madan Mohan Malaviya University of Technolog,Gorakhpur (UP) (India)

ABSTRACT:

A Ricci soliton is a generalization of an Einstein metric. Theoretical physicists have also been looking into the equation of Ricci soliton in relation with string theory. In the present paper we characterize Kenmotsu manifolds admitting a special type of Ricci soliton, called *-Ricci soliton. The main Theorem of the paper states that if a Kenmotsu manifold M admit *-Ricci soliton then, M is either D-Homothetic to an Einstein manifold or the soliton vector field leaves  invariant.

KEYWORDS: Ricci soliton, Kenmotsu manifold, Einstein manifold, Ams Subject Classification(2010):53C15,53C25


A Ricci soliton is a generalization of an Einstein metric. Theoretical physicists have also been looking into the equation of Ricci soliton in relation with string theory. In the...