31 citations · 55 across the 7 of their papers we have counts for
7 papers
Notes on Chern's Affine Bernstein Conjecture
An-Min Li, Ruiwei Xu, Udo Simon +1
There were two famous conjectures on complete affine maximal surfaces, one due to E. Calabi, the other to S.S. Chern. Both were solved with different methods about one decade ago b…
Curvature properties of Weyl geometries
P. Gilkey, S. Nikcevic, U. Simon
We examine relations between geometry and the associated curvature decompositions in Weyl geometry.
Geometric realizations, curvature decompositions, and Weyl manifolds
Peter Gilkey, Stana Nikcevic, Udo Simon
We show any Weyl curvature model can be geometrically realized by a Weyl manifold
Geometric theory of equiaffine curvature tensors
P. Gilkey, S. Nikcevic, U. Simon
We present an algebraic investigation of generalized and equiaffine curvature tensors in a given pseudo-Euclidean vector space and study different orthogonal, irreducible decomposi…
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…
Algebraic theory of affine curvature tensors
N. Blazic, P. Gilkey, S. Nikcevic +1
We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsio…