most citedGeometric realizations of generalized algebraic curvature operators

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2008

Riemannian geometric realizations for Ricci tensors of generalized algebraic curvature operators

P. Gilkey, S. Nikcevic, D. Westerman

We examine questions of geometric realizability for algebraic structures which arise naturally in affine and Riemannian geometry. Suppose given an algebraic curvature operator R at…

math.DG2008★ 3 cited

Geometric realizations of generalized algebraic curvature operators

P. Gilkey, S. Nikcevic, D. Westerman

We study the 8 natural GL equivariant geometric realization questions for the space of generalized algebraic curvature tensors. All but one of them is solvable; a non-zero projecti…