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Question: how to calculate the RicciTensor for system of 3 polynomials equations in 3 variables

Question:how to calculate the RicciTensor for system of 3 polynomials equations in 3 variables

ComputerUser 535
October 20 2014
0

how to calculate the RicciTensor for system of 3 polynomials equations in 3 variables

i find examples using differential expression, how to do for system of polynomial equations

 

Riemannian metric of constant sectional curvature

expect to test whether metric of constant sectional curvature g(t) = 1 when t tends to infinity or finite T

with(DifferentialGeometry):
with(Tensor):
DGSetup([x,y,z],M);
C1 := Connection();
R1 := CurvatureTensor(C1);
Ric1 := RicciTensor(R1);

sys := Diff(g(t), t) = -2*Ric1;

 

 
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