Abstract
In a previous paper the author has defined a Riemannian invariant δ for Riemannian manifolds and has obtained some of its applications. In this article, we investigate this invariant in more details and provide further applications of this invariant to submanifold theory.
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Dedicated to Professor Katsumi Nomizu on the occasion of his seventieth birthday
Research at MSRI supported in part by NSF Grant #DMS 9022140.
The author would like to express his heartfelt thanks to Professors J.-M. Morvan and J. D. Moore for valuable discussions concerning the Riemannian invariant.
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Chen, BY. A Riemannian Invariant and its Applications to Submanifold Theory. Results. Math. 27, 17–26 (1995). https://doi.org/10.1007/BF03322265
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DOI: https://doi.org/10.1007/BF03322265