Open Access
2012 A Basic Inequality for the Tanaka-Webster Connection
Dae Ho Jin, Jae Won Lee
J. Appl. Math. 2012: 1-11 (2012). DOI: 10.1155/2012/231416


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.


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Dae Ho Jin. Jae Won Lee. "A Basic Inequality for the Tanaka-Webster Connection." J. Appl. Math. 2012 1 - 11, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1237.53018
MathSciNet: MR2872347
Digital Object Identifier: 10.1155/2012/231416

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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