On Submanifolds of Pseudo-Hyperbolic Space with 1-Type Pseudo-Hyperbolic Gauss Map

Yegin R., Dursun U.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, cilt.12, sa.4, ss.315-337, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.315-337
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we examine pseudo-Riemannian submanifolds of a pseudo hyperbolic space H-s(m-1)(-1) subset of E-s+1(m) with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub manifolds in H-s(m-1)(-1) with 1-type pseudo-hyperbolic Gauss map, and we obtain the classification of maximal surfaces in H-2(m-1)(-1) subset of E-3(m) with 1-type pseudo-hyperbolic Gauss map. Then we investigate the submanifolds of H-s(m-1)(-1) with 1-type pseudo-hyperbolic Gauss map containing nonzero constant component in its spectral decomposition.