33 research outputs found
Some characterizations of the quasi-sum production models with proportional marginal rate of substitution
In this note we classify quasi-sum production functions with constant
elasticity of production with respect to any factor of production and with
proportional marginal rate of substitution.Comment: 6 pages; minor changes and text improvements; references update
Vaisman manifolds and transversally K\"ahler-Einstein metrics
We use the transverse K\"ahler-Ricci flow on the canonical foliation of a
closed Vaisman manifold to deform the Vaisman metric into another Vaisman
metric with a transverse K\"ahler-Einstein structure. We also study the main
features of such a manifold. Among other results, using techniques from the
theory of parabolic equations, we obtain a direct proof for the short time
existence of the solution for transverse {\K}-Ricci flow on Vaisman manifolds,
recovering in a particular setting a result of Bedulli, He and Vezzoni [J.
Geom. Anal. 28, 697--725 (2018)], but without employing the Molino structure
theorem. Moreover, we investigate Einstein-Weyl structures in the setting of
Vaisman manifolds and find their relationship with quasi-Einstein metrics. Some
examples are also provided to illustrate the main results.Comment: 26 page
On Homogeneous Production Functions with Proportional Marginal Rate of Substitution
We completely classify homogeneous production functions with proportional marginal rate of substitution and with constant elasticity of labor and capital, respectively. These classifications generalize some recent results of C. A. Ioan and G. Ioan (2011) concerning the sum production function
Ruled CR-submanifolds of locally conformal K\"{a}hler manifolds
The purpose of this paper is to study the canonical totally real foliations
of CR-submanifolds in a locally conformal K\"{a}hler manifold.Comment: 10 pages, Journal of Geometry and Physics (to appear
Some constructions of almost para-hyperhermitian structures on manifolds and tangent bundles
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
, where is a manifold endowed with a mixed 3-structure
and on the circle bundle over a manifold with a mixed 3-structure.Comment: 10 pages; This paper has been presented in the "4th German-Romanian
Seminar on Geometry" Dortmund, Germany, 15-18 July 200
Statistical Manifolds with almost Quaternionic Structures and Quaternionic Kähler-like Statistical Submersions
In this paper we investigate statistical manifolds with almost quaternionic structures. We define the concept of quaternionic Kähler-like statistical manifold and derive the main properties of quaternionic Kähler-like statistical submersions, extending in a new setting some previous results obtained by K. Takano concerning statistical manifolds endowed with almost complex and almost contact structures. Finally, we give a nontrivial example and propose some open problems in the field for further research