4 papers
On nearly Kähler and Kähler-Codazzi type manifolds
Fernando Etayo, Araceli deFrancisco, Rafael Santamaría
Nearly Kähler and Kähler-Codazzi type manifolds are defined in a very similar way. We prove that nearly Kähler type manifolds have sense just in Hermitian and para-Hermitian contex…
The canonical involution in the space of connections of a -metric manifold
Fernando Etayo, Rafael Santamaría
A -metric manifold has an almost complex or almost product structure and a compatible metric . We show that there exists a canonical involution in the set of…
Connections functorially attached to almost complex product structures
Fernando Etayo, Rafael Santamaría
Manifolds endowed with three foliations pairwise transversal are known as 3-webs. Equivalently, they can be algebraically defined as biparacomplex or complex product manifolds, i.e…
Lagrange-Fedosov Nonholonomic Manifolds
Fernando Etayo, Rafael Santamar\{'ı}a, Sergiu I. Vacaru
We outline an unified approach to geometrization of Lagrange mechanics, Finsler geometry and geometric methods of constructing exact solutions with generic off-diagonal terms and n…