Integral invariants for supercanonical transformations

1981 ◽  
Vol 5 (6) ◽  
pp. 517-522 ◽  
Author(s):  
O. M. Khudaverdian ◽  
A. S. Schwarz ◽  
Yu. S. Tyupkin
Keyword(s):  
1991 ◽  
Vol 44 (2) ◽  
pp. 409-414
Author(s):  
L. Ropolyi ◽  
P. Réti

1990 ◽  
Vol 17 (2) ◽  
pp. 75-80
Author(s):  
A.G. Mavraganis
Keyword(s):  

1990 ◽  
Vol 39 (1-2) ◽  
pp. 80-91 ◽  
Author(s):  
Osman G�rsoy

1995 ◽  
Vol 137 ◽  
pp. 33-53 ◽  
Author(s):  
Hiroyuki Tasaki

The theory of integral geometry has mainly treated identities between integral invariants of submanifolds in Riemannian homogeneous spaces like as dμg(g) where M and N are submanifolds in a Riemannian homogeneous spaces of a Lie group G and I(M ∩ gN) is an integral invariant of M ∩ gN. For example Poincaré’s formula is one of typical identities in integral geometry, which is as follows. We denote by M(R2) the identity component of the group of isometries of the plane R2 with a suitable invariant measure μM(R2).


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