Constant Angle Surfaces in the Lorentzian Warped Product Manifold -I x(f) E-2

DURSUN U., Turgay N. C.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.18, sa.3, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00009-021-01763-z
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold -I x(f) E-2 with the metric g = -dt(2) +f(2)(t)(dx(2) + dy(2)), where I is an open interval, f is a strictly positive function on I, and E-2 is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in -I x(f) E-2. In this classification, we determine spacelike and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space S-1(3)(1).