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 …

[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 …

[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 …

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 …

ON BICONSERVATIVE RIEMANNIAN HYPERSURFACES OF LORENTZIAN 4-SPACE FORMS.

F Pashaie - Journal of Mahani Mathematical Research …, 2024 - search.ebscohost.com
In this manuscript, we consider an extended version of biconservativity condition (namely, C-
biconservativity) on the Riemannian hypersurfaces of Lorentzian standard 4-space forms …

[HTML][HTML] Complete biconservative surfaces in R3 and S3

S Nistor - Journal of Geometry and Physics, 2016 - Elsevier
In this paper we consider the complete biconservative surfaces in Euclidean space R 3 and
in the unit Euclidean sphere S 3. Biconservative surfaces in 3-dimensional space forms are …

[HTML][HTML] On biconservative surfaces

S Nistor - Differential Geometry and its Applications, 2017 - Elsevier
We study in a uniform manner the properties of biconservative surfaces in arbitrary
Riemannian manifolds. Biconservative surfaces being characterized by the vanishing of the …