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Submanifolds with Relative Nullity

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Abstract

Several of the results of Chaps. 4 and 6 have provided relevant geometric conditions under which a submanifold of a space form must have positive index of relative nullity at any point. The aim of this chapter is to study submanifolds that have this property.

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Authors and Affiliations

  1. IMPA, Rio de Janeiro, Brazil

    Marcos Dajczer

  2. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, São Paulo, Brazil

    Ruy Tojeiro

Authors
  1. Marcos Dajczer
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  2. Ruy Tojeiro
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Dajczer, M., Tojeiro, R. (2019). Submanifolds with Relative Nullity. In: Submanifold Theory . Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-9644-5_7

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