Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space

Georgi Ganchev; Velichka Milousheva

Open Mathematics, Tome 12 (2014), p. 1586-1601 / Harvested from The Polish Digital Mathematics Library

Résumé

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 rotational quasi-minimal surfaces of elliptic, hyperbolic and parabolic type, respectively.

Publié le : 2014-01-01

Zbl 1296.53033

EUDML-ID : urn:eudml:doc:269222

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     author = {Georgi Ganchev and Velichka Milousheva},
     title = {Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space},
     journal = {Open Mathematics},
     volume = {12},
     year = {2014},
     pages = {1586-1601},
     zbl = {1296.53033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0430-1}
}

Georgi Ganchev; Velichka Milousheva. Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space. Open Mathematics, Tome 12 (2014) pp. 1586-1601. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0430-1/

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