A Bonnet Theorem for Submanifolds into Rotational Hypersurfaces

Author:

do Rei Filho Carlos,Vitório Feliciano

Funder

CAPES

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference10 articles.

1. Bonnet, O.: Mémorie sur la théorie des surfaces applicables sur une surface donnée. J. École Polytech. 42 (1867)

2. Chen Q., Xiang C.R.: Isometric immersions into warped product spaces. Acta Math. Sin. Engl. Ser. 26(12), 2269–2282 (2010)

3. Dajczer, M.: Submanifolds and isometric immersions. Based on the notes prepared by Mauricio Antonucci, Gilvan Oliveira, Paulo Lima-Filho and Rui Tojeiro. In: Mathematics Lecture Series, vol. 13, pp. x+173. Publish or Perish, Inc., Houston (1990). ISBN: 0-914098-22-5

4. Daniel B.: Isometric immersions into $${\mathbb{S}^n \times \mathbb{R}}$$ S n × R and $${\mathbb{H}^n \times \mathbb{R}}$$ H n × R and applications to minimal surfaces. Trans. Am. Math. Soc. 361, 6255–6282 (2009)

5. Daniel B.: Isometric immersions into 3-dimensional homogeneous manifolds. Comment. Math. Helv. 82(1), 87–131 (2007)

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