Isometric immersions of $${{\mathbb R}^2}$$ into $${{\mathbb R}^4}$$ and perturbation of Hopf tori

Author:

Gálvez José A.,Mira Pablo

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference32 articles.

1. Bianchi L.: Sulle superficie a curvatura nulla in geometria ellittica. Ann. Mat. Pura Appl. 24, 93–129 (1896)

2. Borisenko A.A.: Isometric immersions of space forms in Riemannian and pseudo-Riemannian spaces of constant curvature. Russ. Math. Surv. 56, 425–497 (2001)

3. do Carmo M.P., Dajczer M.: Local isometric immersions of $${{\mathbb R}^2}$$ into $${{\mathbb R}^4}$$ . J. Reine Angew. Math. 442, 205–219 (1993)

4. Cheng-Chung H.: A differential-geometric criterion for a space curve to be closed. Proc. Am. Math. Soc. 83, 357–361 (1981)

5. Chicone C., Kalton N.J.: Flat embeddings of the Möbius strip in $${{\mathbb R}^3}$$ . Comm. Appl. Nonlinear Anal. 9, 31–50 (2002)

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