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Two-dimensional minimal surfaces in a pseudo-Euclidean space

✍ Scribed by V. P. Gorokh

Publisher
Springer US
Year
1991
Tongue
English
Weight
670 KB
Volume
54
Category
Article
ISSN
1573-8795

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Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections are studied. We prove that complete connected minimal surfaces in a 5-dimensional pseudo-Euclidean space with geodesic normal sections are totally geodesic or fiat quadric.

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This paper introduces a complex representation for minimal surfaces in R n , based on the Schwarz formula which solves the classical BjΓΆrling problem for minimal surfaces in R 3 . As an application, it is shown that a k-dimensional plane of R n is a plane of symmetry of a minimal surface in R n prov