On the Existence of $$C^{1,1}$$-isometric Immersions of Several Classes of Negatively Curved Surfaces into $$\mathbb {R}^3$$

Author:

Li SiranORCID

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference49 articles.

1. Abbena, E., Salamon, S., Gray, A.: Modern Differential Geometry of Curves and Surfaces with Mathematica. Studies in Advanced Mathematics, 3rd edn. Chapman & Hall/CRC, Boca Raton 2006

2. Ball, J.M.: A version of the fundamental theorem for Young measures. Lect. Notes Phys. 334, 207–215, 1989. Springer, Berlin

3. Cao, W., Huang, F., Wang, D.: Isometric immersions of surfaces with two classes of metrics and negative Gauss curvature. Arch. Ration. Mech. Anal. 218, 1431–1457, 2015

4. Cao, W., Huang, F., Wang, D.: Isometric immersion of surface with negative Gauss curvature and the Lax–Friedrichs scheme. SIAM J. Math. Anal. 48, 2227–2249, 2016

5. Cartan, E.J.: Sur la possibilité de plonger un espace Riemannian donné dans un espace Euclidien. Ann. Soc. Pol. Math. 6, 1–7, 1927

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