On spherical submanifolds with nullity

Authors:
Marcos Dajczer and Detlef Gromoll

Journal:
Proc. Amer. Math. Soc. **93** (1985), 99-100

MSC:
Primary 53C42; Secondary 53C40

DOI:
https://doi.org/10.1090/S0002-9939-1985-0766536-0

MathSciNet review:
766536

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Abstract | References | Similar Articles | Additional Information

Abstract: We derive a new condition for spherical submanifolds with positive relative nullity. As an application we obtain that the Ricci curvature is bounded from above by the curvature of the ambient space.

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DOI:
https://doi.org/10.1090/S0002-9939-1985-0766536-0

Article copyright:
© Copyright 1985
American Mathematical Society