Complete parallel mean curvature surfaces in two-dimensional complex space-forms

K Kenmotsu - Bulletin of the Brazilian Mathematical Society, New …, 2018 - Springer
The purpose of this article is to determine explicitly the complete surfaces with parallel mean
curvature vector, both in the complex projective plane and the complex hyperbolic plane …

Remarks on Hypersurfaces in a Unit Sphere

J Meléndez - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
In 1973, DA Hoffman proved that a complete immersed surface in S 3 with constant mean
curvature H≠ 0 and Gauss curvature which does not change sign must be a sphere or a flat …

A comprehensive survey on parallel submanifolds in Riemannian and pseudo-Riemannian manifolds

BY Chen - Axioms, 2019 - mdpi.com
A submanifold of a Riemannian manifold is called a parallel submanifold if its second
fundamental form is parallel with respect to the van der Waerden–Bortolotti connection …

Homogeneous Geodesics of -dimensional Solvable Lie Groups

J Inoguchı - International Electronic Journal of Geometry - dergipark.org.tr
Homogeneous Geodesics of 4-dimensional Solvable Lie Groups Page 1 INTERNATIONAL
ELECTRONIC JOURNAL OF GEOMETRY VOLUME 17 NO.1PAGE 106–136 (2024) DOI …