a+c^2

5*a+b^5

2*a+b^2*c+3*c

assume system of polynomials are above, how to test whether inverse exist

and find inverse of them

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;

how to convert legendre polynomials into system of polynomials of 3 variables for drawing sphere with this ideal?

is possible to draw sphere from system of monomial polynomials?

how to calculate the cobordism between two ideals

do graph have invariant for invariant of cayley graph