Published 2014
| Version public
Journal Article
A ladder of curvatures for hypersurfaces in the Euclidean ambient space
Abstract
We introduce a string of new curvature invariants of a hypersurface in the real (n + 1)-dimensional space and we establish a ladder of inequalities involving these curvature invariants. There is an analogy between this series of inequalities and the classical ladder of power means for positive real numbers. To describe the natural geometric interpretation of our proposed construction we refer to B. Riemann's original idea of sectional curvature.
Additional Information
© 2014 University of Houston. Communicated by David Bao Dedicated to Dr. Bang-Yen Chen's Seventieth Birthday. Received September 16, 2013.Additional details
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- 55007
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- CaltechAUTHORS:20150219-110203852
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2015-02-19Created from EPrint's datestamp field
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2020-03-09Created from EPrint's last_modified field
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