Classification of metallic shaped hypersurfaces in real space forms

被引:21
作者
Ozgur, Cihan [1 ]
Yilmaz Ozgur, Nihal [1 ]
机构
[1] Balikesir Univ, Dept Math, Cagis, Balikesir, Turkey
关键词
Hypersurface; real space form; metallic means family; pseudosymmetric hypersurface; semisymmetric hypersurface; RIEMANNIAN-MANIFOLDS;
D O I
10.3906/mat-1408-17
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define the notion of a metallic shaped hypersurface and give the full classification of metallic shaped hypersurfaces in real space forms. We deduce that every metallic shaped hypersurface in real space forms is a semisymmetric hypersurface.
引用
收藏
页码:784 / 794
页数:11
相关论文
共 17 条
[11]  
Hretcanu CE, 2013, REV UNION MAT ARGENT, V54, P15
[12]   Applications of the Golden Ratio on Riemannian Manifolds [J].
Hretcanu, Cristina-Elena ;
Crasmareanu, Mircea-Claudiu .
TURKISH JOURNAL OF MATHEMATICS, 2009, 33 (02) :179-191
[13]  
KOWALSKI O, 1997, REND MAT APPL, V17, P477
[14]  
Ryan P., 1971, Osaka J. Math, V8, P251
[15]  
Ryan P., 1969, Tohoku Math. J., V21, P363, DOI DOI 10.2748/TMJ/1178242949
[16]  
Sinyukov N. S., 1954, Dokl. Akad. Nauk SSSR, V98, P21
[17]  
Verstraelen L, 1993, GEOMETRY TOPOLOGY SU, VVI, P199