Habeeb Abood

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Questions related from Habeeb Abood

In Riemannian geometry with constant sectional curvature tensor K. What the kinds of geometry that determied by the values of K?

We know that the sectional curvature tensor in local coordinates is given by Kij=gijRijkl , where Rijkl are the components of the Riemannian curvature tensor.

20 April 2017 9,175 3 View

What is the geometric meaning of the flatness of Ricci tensor in Riemannian Geometry?

Ricci curvature tensor plays an important role in general relativity, where it is the key term in the Einstein field equations. It is known, the Ricci tensor defined by the Riemannian curvature...

15 April 2017 7,495 3 View

What is the geometric meaning of the curvature in Riemannian Geometry?

I mean, what can be measured the curvature in Riemann geometry?

11 April 2017 3,879 11 View