DocumentCode
2955778
Title
Submanifolds with Moebius Sectional Curvature in a Unit Sphere
Author
Guo, Kaiwen
Author_Institution
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
fYear
2011
fDate
30-31 July 2011
Firstpage
1
Lastpage
5
Abstract
Let M be a hypersurface with the parallal Moebius second curvature in a unit sphere. HU Zejun and LI Haizhong classified the hypersurface. Let M be a compact submanifold with constant scalar curvature in a unit sphere, they classified the submanifold. Let M be a hypersurface with vanishing Moebius form and harmonic curvature in a unit sphere, we discuss some properties of the hypersurface; let M be a compact sub-manifold with vanishing Moebius form and a sectional curvature satisfied a certain condition, we discuss some properties of the submanifold in this paper.
Keywords
geometry; compact submanifold; constant scalar curvature; harmonic curvature; hypersurface; parallal Moebius second curvature; submanifolds; unit sphere; vanishing Moebius form; Equations; Geometry; Laplace equations; Mathematical model; Measurement; Tensile stress; Yttrium;
fLanguage
English
Publisher
ieee
Conference_Titel
Control, Automation and Systems Engineering (CASE), 2011 International Conference on
Conference_Location
Singapore
Print_ISBN
978-1-4577-0859-6
Type
conf
DOI
10.1109/ICCASE.2011.5997750
Filename
5997750
Link To Document