Differential geometry of 1-type submanifolds and submanifolds with 1-type Gauss map

BY Chen, E Güler, Y Yaylı… - … Electronic Journal of …, 2023 - dergipark.org.tr
The theory of finite type submanifolds was introduced by the first author in late 1970s and it
has become a useful tool for investigation of submanifolds. Later, the first author and P …

On submanifolds with 2-type pseudo-hyperbolic Gauss map in pseudo-hyperbolic space

RY Şen, U Dursun - Mediterranean Journal of Mathematics, 2017 - Springer
In this paper, we study pseudo-Riemannian submanifolds of a pseudo-hyperbolic
space\mathbb H^ m-1 _s (-1) ⊂\mathbb E^ m_ s+ 1 H sm-1 (-1)⊂ E s+ 1 m with 2-type …

Pseudo‐hyperbolic Gauss maps of Lorentzian surfaces in anti‐de Sitter space

H Kobayashi, N Koike - Mathematische Nachrichten, 2020 - Wiley Online Library
In this paper, we determine the type numbers of the pseudo‐hyperbolic Gauss maps of all
oriented Lorentzian surfaces of constant mean and Gaussian curvatures and non …

[PDF][PDF] Pseudo-Riemannian ruled surfaces with null curves of constant mean and scalar curvature

小林穂乃香 - tus.repo.nii.ac.jp
The thesis is based on [17] and [16]. In the thesis, we study pseudo-Riemannian surfaces of
constant mean and scalar curvature and non-diagonalizable shape operator in pseudo …