output
20042024
most citedInequalities for generalized normalized -Casorati curvatures of slant submanifolds in quaternionic space forms

49 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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9 papers · 1 filter

math.DG2015★ 12 cited

On some geometric properties of quasi-product production models

Haila Alodan, Bang-Yen Chen, Sharief Deshmukh +1

In this article we obtain classification results on the quasi-product production functions in terms of the geometry of their associated graph hypersurfaces, generalizing in a new s…

math.DG2014★ 49 cited

Inequalities for generalized normalized -Casorati curvatures of slant submanifolds in quaternionic space forms

Jaewon Lee, Gabriel-Eduard Vîlcu

In this paper we prove two sharp inequalities involving the normalized scalar curvature and the generalized normalized -Casorati curvatures for slant submanifolds in quaternioni…

math.DG2013★ 29 cited

Geometric classifications of homogeneous production functions

Bang-Yen Chen, Gabriel Eduard Vilcu

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 o…

math.DG2012★ 16 cited

Ruled CR-submanifolds of locally conformal Kähler manifolds

Gabriel Eduard Vilcu

The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal Kähler manifold.

math.DG2011★ 4 cited

Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds

Gabriel Eduard Vilcu, Rodica Cristina Voicu

In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic Kähler manifold and prove the existence of both positive and negative…

math.DG2011★ 6 cited

3-submersions from QR-hypersurfaces of quaternionic Kaehler manifolds

Gabriel Eduard Vilcu

In this paper we study 3-submersions from a QR-hypersurface of a quaternionic Kaehler manifold onto an almost quaternionic hermitian manifold. We also prove the non-existence of qu…

math.DG2011★ 44 cited

Riemannian submersions from almost contact metric manifolds

Stere Ianus, Adrian Mihai Ionescu, Raluca Mocanu +1

In this paper we obtain the structure equation of a contact-complex Riemannian submersion and give some applications of this equation in the study of almost cosymplectic manifolds…

math.DG2010★ 12 cited

Paraquaternionic CR-submanifolds of paraquaternionic Kahler manifolds and semi-Riemannian submersions

Stere Ianus, Stefano Marchiafava, Gabriel Eduard Vilcu

In this paper we introduce paraquaternionic CR-submanifolds of almost paraquaternionic hermitian manifolds and state some basic results on their differential geometry. We also stud…

math.DG2007★ 10 cited

Some constructions of almost para-hyperhermitian structures on manifolds and tangent bundles

Stere Ianus, Gabriel Eduard Vilcu

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…