In this paper we define the concept of quaternionic submersion, we study its fundamental properties and give an example.

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Abstract. In this paper we prove two sharp inequalities involving the normalized scalar curvature and the generalized normalized δ-Casorati curvatures for slant submanifolds in quaternionic space forms. We also characterize those submanifolds for which the equality cases hold. These results are a generalization of some recent results concerning the Casorati curvature for a slant submanifold in a quaternionic space form obtained by Slesar et al.: J. Inequal. Appl. 2014

In this note we introduce the concept of (?,?’)-holomorphic map between two almost quaternionic Hermitian manifolds. We prove that a (?,?’)-holomorphic map between two quaternionic Kähler manifolds with a certain property is a harmonic map and give some conditions for the stability of such a map

Abstract. In this paper we give some examples of almost para-hyperhermitian structures on the tangent bundle of an almost product manifold, on the product manifold M × R, where M is a manifold endowed with a mixed 3-structure and on the circle bundle over a manifold with a mixed 3-structure.

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In this paper, we completely classify homogeneous production functions with an arbitrary number of inputs whose production hypersurfaces are flat. As an immediate consequence, we obtain a complete classification of homogeneous production functions with two inputs whose production surfaces are developable.Comment: 11 pages; To appear in Applied Mathematics and Computatio