TY - JOUR
T1 - Biharmonic PNMCV submanifolds in Euclidean 5-space
AU - Şen, Rüya
AU - Turgay, Nurettin Cenk
N1 - Publisher Copyright:
© TÜBİTAK
PY - 2023
Y1 - 2023
N2 - In this article, we study 3-dimensional biconservative and biharmonic submanifolds of E5 with parallel normalized mean curvature vector (PNMCV). First, we prove that the principal curvartures and principal directions of biconservative PNMCV isometric immersions into E5 can be determined intrinsically. Then, we complete the proof of Chen’s biharmonic conjecture for PNMCV submanifolds of E5.
AB - In this article, we study 3-dimensional biconservative and biharmonic submanifolds of E5 with parallel normalized mean curvature vector (PNMCV). First, we prove that the principal curvartures and principal directions of biconservative PNMCV isometric immersions into E5 can be determined intrinsically. Then, we complete the proof of Chen’s biharmonic conjecture for PNMCV submanifolds of E5.
KW - Biconservative submanifolds
KW - Biharmonic submanifolds
KW - Parallel normalized mean curvature vectors
UR - http://www.scopus.com/inward/record.url?scp=85147760488&partnerID=8YFLogxK
U2 - 10.55730/1300-0098.3361
DO - 10.55730/1300-0098.3361
M3 - Article
AN - SCOPUS:85147760488
SN - 1300-0098
VL - 47
SP - 296
EP - 316
JO - Turkish Journal of Mathematics
JF - Turkish Journal of Mathematics
IS - 1
ER -