Vector fields on nonorientable surfaces.

Barza, Ilie; Ghisa, Dorin

Displaying similar documents to “Vector fields on nonorientable surfaces.”

Lifting di-analytic involutions of compact Klein surfaces to extended-Schottky uniformizations

Rubén A. Hidalgo (2011)

Fundamenta Mathematicae

Similarity:

Let S be a compact Klein surface together with a di-analytic involution κ: S → S. The lowest uniformizations of S are those whose deck group is an extended-Schottky group, that is, an extended Kleinian group whose orientation preserving half is a Schottky group. If S is a bordered compact Klein surface, then it is well known that κ can be lifted with respect to a suitable extended-Schottky uniformization of S. In this paper, we complete the above lifting property by proving that if S...

A note of the Torelli spaces of non-orientable compact Klein surfaces.

Arés Gastesi, Pablo (1999)

Annales Academiae Scientiarum Fennicae. Mathematica

Similarity:

Complete classification of surfaces with a canonical principal direction in the Euclidean space $𝔼$ 3

Marian Munteanu, Ana Nistor (2011)

Open Mathematics

Similarity:

In the present paper we classify all surfaces in $𝔼$ 3 with a canonical principal direction. Examples of this type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space $𝔼$ 3 is the catenoid.

Lorentzian isothermic surfaces and Bonnet pairs

M. A. Magid (2004)

Annales Polonici Mathematici

Similarity:

Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.

Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations

Georgi Ganchev, Vesselka Mihova (2013)

Open Mathematics

Similarity:

On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...

Affine surfaces with planar affine normals in 3-dimensional Minkowski space $ℜ_{1}^{3}$ .

Manhart, Friedrich (2006)

Mathematica Pannonica

Similarity:

Surfaces with prescribed Weingarten operator

Udo Simon, Konrad Voss, Luc Vrancken, Martin Wiehe (2002)

Banach Center Publications

Similarity:

We investigate pairs of surfaces in Euclidean 3-space with the same Weingarten operator in case that one surface is given as surface of revolution. Our local and global results complement global results on ovaloids of revolution from S-V-W-W.