Integral Invariants (Poincaré–Cartan) and Hydrodynamics

2019 ◽  
pp. 377-382
Author(s):  
Marián Fecko
Keyword(s):  
Integral Invariants

Integral invariants in chemical kinetics

1991 ◽  
Vol 44 (2) ◽  
pp. 409-414
Author(s):  
L. Ropolyi ◽  
P. Réti
Keyword(s):  
Chemical Kinetics ◽  
Integral Invariants

The integral invariants of n gyrostats

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

On the integral invariants of a closed ruled surface

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

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):  
Integral Invariants

scholarly journals Integral geometry under cut loci in compact symmetric spaces

1995 ◽  
Vol 137 ◽  
pp. 33-53 ◽  
Author(s):  
Hiroyuki Tasaki
Keyword(s):  
Invariant Measure ◽  
Lie Group ◽  
Integral Geometry ◽  
Symmetric Spaces ◽  
Homogeneous Spaces ◽  
Integral Invariant ◽  
Identity Component ◽  
Integral Invariants ◽  
Compact Symmetric Spaces ◽  
Group Of Isometries

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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