EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 101[115], pp. 223–230 (2017)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home

EMIS Home

Pick a mirror

 		 

THE CLASSIFICATION OF PRODUCT SHAPED HYPERSURFACES IN LORENTZ SPACE FORMS

Dan Yang, Le Hao, Bingren Chen

School of Mathematics, Liaoning University, Shenyang, China; School of Economics, Shenyang University, Shenyang, China; School of Mathematical Sciences, University of Science and Technology of China, Hefei, China

Abstract: We define the product shaped hypersurfaces in Lorentz space forms by imposing the shape operator to be product type. Based on the classification of the isoparametric hypersurfaces, we obtain the whole families of the product shaped hypersurfaces in Minkowski, de Sitter and anti-de Sitter spaces.

Keywords: product shaped hypersurface; isoparametric hypersurface; Lorentz space form

Classification (MSC2000): 53C42

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 24 Apr 2017. This page was last modified: 11 May 2017.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition