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
1990 ◽  
Vol 33 (1) ◽  
pp. 79-88
Author(s):  
Sungyun Lee

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.


1991 ◽  
Vol 179 (2) ◽  
pp. 223-235 ◽  
Author(s):  
T. Singh ◽  
Anil K. Agrawal

1961 ◽  
Vol 124 (3) ◽  
pp. 925-935 ◽  
Author(s):  
C. Brans ◽  
R. H. Dicke

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