TY - JOUR
T1 - BICONSERVATIVE PNMCV SURFACES IN THE ARBITRARY DIMENSIONAL MINKOWSKI SPACE
AU - Turgay, Nurettin Cenk
AU - Şen, Rüya Yeğin
N1 - Publisher Copyright:
© 2025 Korean Mathematical Society.
PY - 2025/1
Y1 - 2025/1
N2 - In this article, we study biconservative surfaces with parallel normalized mean curvature vector field in the arbitrary dimensional Minkowski space (Formula present), where m ≥ 4. Firstly, we obtain some geometric properties of these surfaces. In particular, we prove that if M is a PNMCV biconservative surface in (Formula present), then it must be contained in a 4-dimensional non-degenerated totally geodesic of (Formula present) and all its shape operators are diagonalizable. Then, we give local classification theorems for biconservative PNMCV space-like and time-like surfaces in (Formula present).
AB - In this article, we study biconservative surfaces with parallel normalized mean curvature vector field in the arbitrary dimensional Minkowski space (Formula present), where m ≥ 4. Firstly, we obtain some geometric properties of these surfaces. In particular, we prove that if M is a PNMCV biconservative surface in (Formula present), then it must be contained in a 4-dimensional non-degenerated totally geodesic of (Formula present) and all its shape operators are diagonalizable. Then, we give local classification theorems for biconservative PNMCV space-like and time-like surfaces in (Formula present).
KW - Biconservative surfaces
KW - Minkowski space
KW - parallel normalized mean curvature vectors
UR - http://www.scopus.com/inward/record.url?scp=85216775978&partnerID=8YFLogxK
U2 - 10.4134/JKMS.j230614
DO - 10.4134/JKMS.j230614
M3 - Article
AN - SCOPUS:85216775978
SN - 0304-9914
VL - 62
SP - 145
EP - 163
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
IS - 1
ER -