TY - JOUR
T1 - On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces
AU - Yeğgin Şen, Rüya
AU - Kelleci, Alev
AU - Turgay, Nurettin Cenk
AU - Özkara Canfes, Elif
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2021/6
Y1 - 2021/6
N2 - In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c∈ { 0 , - 1 , 1 }. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.
AB - In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c∈ { 0 , - 1 , 1 }. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.
KW - Biconservative immersions
KW - biharmonic submanifolds
KW - quasi-minimal surfaces
KW - semi-Riemannian space forms
UR - http://www.scopus.com/inward/record.url?scp=85104513615&partnerID=8YFLogxK
U2 - 10.1007/s00009-021-01755-z
DO - 10.1007/s00009-021-01755-z
M3 - Article
AN - SCOPUS:85104513615
SN - 1660-5446
VL - 18
JO - Mediterranean Journal of Mathematics
JF - Mediterranean Journal of Mathematics
IS - 3
M1 - 109
ER -