2 citations · 2 across the 4 of their papers we have counts for
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Geometric realizations of curvature models by manifolds with constant scalar curvature
M. Brozos-Vazquez, P. Gilkey, H. Kang +2
We show any Riemannian curvature model can be geometrically realized by a manifold with constant scalar curvature. We also show that any pseudo-Hermitian curvature model, para-Herm…
Osserman and conformally Osserman manifolds with warped and twisted product structure
M. Brozos-Vazquez, E. Garcia-Rio, R. Vazquez-Lorenzo
We characterize Osserman and conformally Osserman Riemannian manifolds with the local structure of a warped product. By means of this approach we analyze the twisted product struct…
Projectively Osserman manifolds
M. Brozos-Vazquez, P. Gilkey, S. Nikcevic +1
One says that a smooth manifold M is a pseudo-Riemannian manifold of signature (p,q) if the tangent bundle TM is equipped with a smooth non-degenerate symmetric inner product g of…
Manifolds with commuting Jacobi operators
M. Brozos-Vazquez, P. Gilkey
We characterize Riemannian manifolds of constant sectional curvature in terms of commutation properties of their Jacobi operators.