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20032026
most citedInequalities for generalized normalized -Casorati curvatures of slant submanifolds in quaternionic space forms

49 citations · 244 across the 25 of their papers we have counts for

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math.DG2026

A Rigidity Theorem for Flat Graph Hypersurfaces of Variable-Returns-to-Scale Cobb--Douglas Production Functions

Bang-Yen Chen, Sharief Deshmukh, Nasser Bin Turki +2

We study graph hypersurfaces associated with higher-dimensional () Cobb--Douglas production functions with variable returns to scale. We prove a rigidity theorem showing that…

math.DG2023★ 1 cited

Classification of separable hypersurfaces with constant sectional curvature

Muhittin Evren Aydin, Rafael Lopez, Gabriel-Eduard Vilcu

In this paper, we give a full classification of the separable hypersurfaces of constant sectional curvature in the Euclidean -space . In dimension , this clas…

math.DG2022

Vaisman manifolds and transversally Kähler-Einstein metrics

Vladimir Slesar, Gabriel-Eduard Vîlcu

We use the transverse Kähler-Ricci flow on the canonical foliation of a closed Vaisman manifold to deform the Vaisman metric into another Vaisman metric with a transverse Kähler-Ei…

math.DG2019

Almost product structures on statistical manifolds and para-Kähler-like statistical submersions

Gabriel-Eduard Vîlcu

The main purpose of the present work is to investigate statistical manifolds endowed with almost product structures. We prove that the statistical structure of a para-Kähler-like s…

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…