Ricci Solitons in α-Sasakian Manifolds
Joint Authors
Bagewadi, C. S.
Ingalahalli, Gurupadavva
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study Ricci solitons in α-Sasakian manifolds.
It is shown that a symmetric parallel second order-covariant tensor in a α-Sasakian manifold is a constant multiple of the metric tensor.
Using this, it is shown that if ℒVg+2S is parallel where V is a given vector field, then (g,V,λ) is Ricci soliton.
Further, by virtue of this result, Ricci solitons for n-dimensional α-Sasakian manifolds are obtained.
Next, Ricci solitons for 3-dimensional α-Sasakian manifolds are discussed with an example.
American Psychological Association (APA)
Ingalahalli, Gurupadavva& Bagewadi, C. S.. 2012. Ricci Solitons in α-Sasakian Manifolds. ISRN Geometry،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-470910
Modern Language Association (MLA)
Ingalahalli, Gurupadavva& Bagewadi, C. S.. Ricci Solitons in α-Sasakian Manifolds. ISRN Geometry No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-470910
American Medical Association (AMA)
Ingalahalli, Gurupadavva& Bagewadi, C. S.. Ricci Solitons in α-Sasakian Manifolds. ISRN Geometry. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-470910
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470910