Fields of Smooth Compact Minimal Surfaces

Russian Journal of Mathematical Physics - Tập 26 - Trang 174-179 - 2019
Yu. S. Osipov1, M. I. Zelikin1
1Moscow State University, Moscow, Russia

Tóm tắt

The minimality of surfaces defined by certain classical embeddings is proved and properties of sections of the surfaces are studied.

Tài liệu tham khảo

W.K. Clifford, “On a Surface of Zero Curvature and Finite Extent,” Proc. London Math. Soc. 4, 381–395 (1873). Yu. S. Osipov and M. I. Zelikin, “Multidimensional Generalization of Jacobi Envelope Theorem,” Russ. J. Math. Phys. 19 (1), 101–106 (2012). M. M. Postnikov, Lie Groups and Lie Algebras (Lectures on Geometry, Semester 5, Moscow, Nauka, 1982). J. Simons, “Minimal Varieties in Riemannian Manifold,” Ann. of Math. 88, 62–105 (1969). M. I. Zelikin, “Theory of Fields for Multiple Integrals,” Russ. Math. Surv. 66 (4), 103–136 (2011).