COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS-Reference-Cited by-同舟云学术

COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS

Published:2010-05 Issue:05 Volume:21 Page:665-686
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

CHEN BANG-YEN¹,DILLEN FRANKI²,VAN DER VEKEN JOERI²

Affiliation:

1. Department of Mathematics, Michigan State University, East Lansing, Michigan 48824-1027, USA

2. Katholieke Universiteit Leuven, Celestijnenlaan 200B Box 2400, B-3001 Leuven, Belgium

Abstract

A surface of a pseudo-Riemannian manifold is called parallel if its second fundamental form is parallel with respect to the Van der Waerden–Bortolotti connection. Such surfaces are fundamental since the extrinsic invariants of the surfaces do no change from point to point. In this article, we completely classify parallel Lorentzian surfaces in Lorentzian complex space forms of complex dimension two.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X10006276

Reference20 articles.

1. On symmetric submanifolds of spaces of constant curvature

2. Surfaces with parallel second fundamental form in Bianchi-Cartan-Vranceanu spaces

3. Symmetric immersions in pseudo-Riemannian space forms

4. PARALLEL SURFACES IN THREE-DIMENSIONAL LORENTZIAN LIE GROUPS

5. LORENTZIAN SYMMETRIC THREE-SPACES AND THE CLASSIFICATION OF THEIR PARALLEL SURFACES

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