TY - JOUR
T1 - On quasi-minimal isometric immersions into non-flat semi Riemannian space forms of index two
AU - Turgay, Nurettin Cenk
AU - Kelleci, Alev
AU - Şen, Rüya Yegin
AU - Canfes, Elif Özkara
N1 - Publisher Copyright:
© 2019 Bulgarian Academy of Sciences. All Rights Reserved.
PY - 2019
Y1 - 2019
N2 - In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.
AB - In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasi-minimal surface.
KW - Biconservative immersions
KW - Biharmonic submanifolds
KW - Lorentzian surfaces
KW - Quasi-minimal surfaces
KW - Semi-Riemannian space-forms
UR - http://www.scopus.com/inward/record.url?scp=85059408066&partnerID=8YFLogxK
U2 - 10.7546/giq-20-2019-255-265
DO - 10.7546/giq-20-2019-255-265
M3 - Article
AN - SCOPUS:85059408066
SN - 1314-3247
VL - 20
SP - 255
EP - 265
JO - Geometry, Integrability and Quantization
JF - Geometry, Integrability and Quantization
ER -