Results 1 
2 of
2
THE GEOMETRY OF MODIFIED RIEMANNIAN EXTENSIONS
, 2009
"... We show that every paracomplex space form is locally isometric to a modified Riemannian extension and give necessary and sufficient conditions so that a modified Riemannian extension is Einstein. We exhibit Riemannian extension Osserman manifolds of signature (3, 3) whose Jacobi operators have non ..."
Abstract

Cited by 9 (4 self)
 Add to MetaCart
(Show Context)
We show that every paracomplex space form is locally isometric to a modified Riemannian extension and give necessary and sufficient conditions so that a modified Riemannian extension is Einstein. We exhibit Riemannian extension Osserman manifolds of signature (3, 3) whose Jacobi operators have nontrivial Jordan normal form and which are not nilpotent. We present new four dimensional results in Osserman geometry.