Biharmonic and biconservative hypersurfaces in space forms

D Fetcu, C Oniciuc - arXiv preprint arXiv:2012.12476, 2020 - arxiv.org
We present some general properties of biharmonic and biconservative submanifolds and
then survey recent results on such hypersurfaces in space forms. We also propose an …

Biharmonic PNMCV submanifolds in Euclidean 5-space

R Şen, NC Turgay - Turkish Journal of Mathematics, 2023 - journals.tubitak.gov.tr
In this article, we study 3-dimensional biconservative and biharmonic submanifolds of
$\mathbb {E}^ 5$ with parallel normalized mean curvature vector (PNMCV). First, we prove …

[HTML][HTML] A classification of biconservative hypersurfaces in a pseudo-Euclidean space

A Upadhyay, NC Turgay - Journal of Mathematical Analysis and …, 2016 - Elsevier
In this paper, we study biconservative hypersurfaces of index 2 in E 2 5. We give the
complete classification of biconservative hypersurfaces with diagonalizable shape operator …

On biconservative hypersurfaces in‐dimensional Riemannian space forms

NC Turgay, A Upadhyay - Mathematische Nachrichten, 2019 - Wiley Online Library
On biconservative hypersurfaces in ‐dimensional Riemannian space forms - Turgay - 2019
- Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to Article …

Complete classification of biconservative hypersurfaces with diagonalizable shape operator in the Minkowski 4-space

Y Fu, NC Turgay - International Journal of Mathematics, 2016 - World Scientific
Complete classification of biconservative hypersurfaces with diagonalizable shape operator
in the Minkowski 4-space Page 1 International Journal of Mathematics Vol. 27, No. 5 (2016) …

[HTML][HTML] On biconservative surfaces in 4-dimensional Euclidean space

RY Şen, NC Turgay - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the
Euclidean 4-space E 4. First, we determine locally all parallel normalized mean curvature …

Parallel mean curvature biconservative surfaces in complex space forms

H Bibi, BY Chen, D Fetcu… - Mathematische …, 2023 - Wiley Online Library
In this paper, we consider PMC surfaces in complex space forms, and study the interaction
between the notions of PMC, totally real and biconservative. We first consider PMC surfaces …

Biconservative Submanifolds in and

F Manfio, NC Turgay, A Upadhyay - The Journal of Geometric Analysis, 2019 - Springer
In this paper we study biconservative submanifolds in S^ n * RS n× R and H^ n * RH n× R
with parallel mean curvature vector field and codimesion 2. We obtain some sufficient and …

On the uniqueness of complete biconservative surfaces in ℝ³

S Nistor, C Oniciuc - Proceedings of the American Mathematical Society, 2019 - ams.org
We study the uniqueness of complete biconservative surfaces in the Euclidean space
$\mathbb {R}^ 3$ and prove that the only complete biconservative regular surfaces in …

Complete biconservative surfaces in the hyperbolic space H3

S Nistor, C Oniciuc - Nonlinear Analysis, 2020 - Elsevier
We construct simply connected, complete, non-C MC biconservative surfaces in the 3-
dimensional hyperbolic space H 3, in an intrinsic and extrinsic way. We obtain three families …