Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map


Bektaş B., Van der Veken J., Vrancken L.

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, cilt.52, sa.1, ss.45-55, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s10455-017-9548-2
  • Dergi Adı: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.45-55
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are described by an explicit system of partial differential equations.