Certain results on Ricci solitons in α-Kenmotsu manifolds
Journal Title: Science Vision - Year 2018, Vol 18, Issue 1
Abstract
In this paper, we study some curvature problems of Ricci solitons in α-Kenmotsu manifold. It is shown that a symmetric parallel second order-covariant tensor in a α-Kenmotsu manifold is a constant multiple of the metric tensor. Using this result, it is shown that if (Lvg + 2S) is parallel where V is a given vector field, then the structure (g, V, λ) yield a Ricci soliton. Further, by virtue of this result, Ricci solitons for n-dimentional α-Kenmotsu manifolds are obtained. In the last section, we discuss Ricci soliton for 3-dimentional α-Kenmotsu manifolds.
Authors and Affiliations
R. Kumar
Keywords
Related Articles
- EP ID EP460141
- DOI 10.33493/scivis.18.01.02
- Views 37
- Downloads 0
Morphotectonic and sedimentological aspects in describing the relationship with ancient failure surfaces in southern part of Aizawl anticline, Mizoram, India
Population growth in Aizawl city has caused urban areas to expand into landslide-prone areas. These areas comprised of Bhuban Formation rocks of Surma Group and have geological features that frequently generate ground in...
Isolation and molecular characterization of ginger soft rot pathogenic fungi in Aizawl district of Mizoram, India
Ginger soft rot disease caused by fungal pathogens have become one of the most serious problems causing reduced production around the world. It has also caused a major problem among farmers of Mizoram state in India resu...
Estimation of current population mean using two-occasion successive sampling with one auxiliary variable
In this study, two-occasion successive sampling for ratio-to-regression estimator was used to determine the current estimate of the population mean using only the matched part and one auxiliary variable, which is availab...
A preliminary assessment on the plankton diversity of Serlui ‘B’ dam in Mizoram, northeast India
Planktonic sampling was carried out at Serlui ‘B’ dam, Mizoram, northeast India from July 2016 to April 2017. The present study reported the occurrence of 6 groups of phytoplankton belonging to 27 genera and 16 orders an...
Note on the clutch size and egg morphometry of Oligodon albocinctus and Hebius xenura (Reptilia: Serpentes: Colubridae)
We report the clutch size, egg morphometry and timing of oviposition in two snakes, Oligodon albocinctus and Hebius xenura based on specimens from Mizoram, northeast India.