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A Basic Inequality for the Tanaka-Webster Connection
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen's basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature and pseudosectional curvature on one side) and the main extrinsic invariant (namely, squared pseudomean curvature on the other side) with respect to the Tanaka-Webster connection.
Moreover, involving the pseudo-Ricci curvature and the squared pseudo-mean curvature, we obtain a basic inequality for submanifolds of a Sasakian space form tangent to the structure vector field in terms of the Tanaka-Webster connection.
American Psychological Association (APA)
Jin, Dae Ho& Lee, Jae Won. 2012. A Basic Inequality for the Tanaka-Webster Connection. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993048
Modern Language Association (MLA)
Jin, Dae Ho& Lee, Jae Won. A Basic Inequality for the Tanaka-Webster Connection. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-993048
American Medical Association (AMA)
Jin, Dae Ho& Lee, Jae Won. A Basic Inequality for the Tanaka-Webster Connection. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-993048
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993048