On the Minimal Immersions of the Two-sphere in a Space of Constant Curvature

2015 ◽  
pp. 27-40 ◽  
Author(s):  
Shiing-Shen Chern
Keyword(s):  
Constant Curvature ◽  
Space Of Constant Curvature ◽  
Minimal Immersions

scholarly journals Kinematic formula and tube formula in space of constant curvature

1990 ◽  
Vol 33 (1) ◽  
pp. 79-88
Author(s):  
Sungyun Lee
Keyword(s):  
Euclidean Space ◽  
Euler Characteristic ◽  
Constant Curvature ◽  
Kinematic Formula ◽  
Curvature Invariants ◽  
Space Of Constant Curvature

The Euler characteristic of an even dimensional submanifold in a space of constant curvature is given in terms of Weyl's curvature invariants. A derivation of Chern's kinematic formula in non-Euclidean space is completed. As an application of above results Weyl's tube formula about an odd-dimensional submanifold in a space of constant curvature is obtained.

INTEGRAL GEOMETRY IN A SPACE OF CONSTANT CURVATURE

1966 ◽  
pp. 273-330 ◽  
Author(s):  
I.M. GEL'FAND ◽  
M.I. GRAEV ◽  
N.Ya. VILENKIN
Keyword(s):  
Constant Curvature ◽  
Integral Geometry ◽  
Space Of Constant Curvature

scholarly journals Sasakian hypersurfaces in a space of constant curvature

1969 ◽  
Vol 21 (4) ◽  
pp. 644-653 ◽  
Author(s):  
Toshio Takahashi
Keyword(s):  
Constant Curvature ◽  
Space Of Constant Curvature

The relativistic theory of gravitation based on a space of constant curvature

1991 ◽  
Vol 86 (2) ◽  
pp. 111-120 ◽  
Author(s):  
A. A. Logunov ◽  
M. A. Mestvirishvili ◽  
Yu. V. Chugreev
Keyword(s):  
Constant Curvature ◽  
Relativistic Theory ◽  
Space Of Constant Curvature ◽  
Theory Of Gravitation
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