Nonnegative Curvature Operator Research Articles

Some complete manifolds with non-negative curvature operator

Some complete manifolds with non-negative curvature operator

Manifolds with pure non-negative curvature operator

We prove that if a simply connected compact Riemannian manifold has pure non negative curvature operator then its irreducible components (in the de Rham decomposition) are homeomorphic to spheres.

Compact K�hler manifolds with nonnegative curvature operator

Compact K�hler manifolds with nonnegative curvature operator

Nonnegative curvature operators: some nontrivial examples

Nonnegative curvature operators: some nontrivial examples

The Zeroes of Nonnegative Holomorphic Curvature Operators

The Zeroes of Nonnegative Holomorphic Curvature Operators

The zeroes of nonnegative holomorphic curvature operators

Here, we study the structure of points in a holomorphic Grassmann’s submanifold where the holomorphic sectional curvature assumes its minimum and maximum. For spaces of nonnegative holomorphic sectional curvature we study the set of points on which it assumes the value zero. We show that the minimum and maximum sets of holomorphic sectional curvature are the intersections of a holomorphic Grassmann’s submanifold with linear complex holomorphic subspaces of type (1, 1).

The zeros of nonnegative curvature operators

The zeros of nonnegative curvature operators