Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space

Georgi Ganchev; Velichka Milousheva

doi:10.2478/s11533-014-0430-1

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arXiv · 1210.2741

Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space

Georgi Ganchev·Velichka Milousheva

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Abstract

In the four-dimensional pseudo-Euclidean space with neutral metric there are three types of rotational surfaces with two-dimensional axis - rotational surfaces of elliptic, hyperbolic or parabolic type. A surface whose mean curvature vector field is lightlike is said to be quasi-minimal. In this paper we classify all quasi-minimal rotational surfaces of elliptic, hyperbolic and parabolic type, respectively.

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BibTeX RIS

Georgi Ganchev, Velichka Milousheva. 2012-10-09. Quasi-minimal Rotational Surfaces in Pseudo-Euclidean Four-dimensional Space. https://doi.org/10.2478/s11533-014-0430-1

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