226 citations · 552 across the 58 of their papers we have counts for
60 papers
Some links between -harmonicity, submersion and cohomology
Bang-Yen Chen, Shihshu Walter Wei
By studying cohomology classes that are related with -harmonic morphisms, -harmonic maps, and -harmonic maps, we extend several of our previous results on Riemannian subme…
Sharp inequalities and solitons for statistical submersions
Mohd. Danish Siddiqi, Aliya Naaz Siddiqui, Bang-Yen Chen
In this research article, initially, we prove some sharp inequalities on statistical submersions involving Ricci and scalar curvatures of the statistical manifolds. In addition, we…
-Harmonicity, Minimality, Conformality and Cohomology
Bang-Yen Chen, Shihshu Walter Wei
By studying cohomology classes that are related with -harmonic morphisms and -harmonic maps, we augment and extend several results on -harmonic maps, harmonic maps in [1,…
PMC Biconservative Surfaces in Complex Space Forms
Hiba Bibi, Bang-Yen Chen, Dorel Fetcu +1
In this article we consider PMC surfaces in complex space forms, and we study the interaction between the notions of PMC, totally real and biconservative. We first consider PMC sur…
Harmonic forms and generalized solitons
Adara M. Blaga, Bang-Yen Chen
For a generalized soliton , we provide necessary and sufficient conditions for the dual -form of the potential vector field to be a solution of th…
Geometry of pointwise semi-slant warped products in locally conformal Kaehler manifolds
Bang-Yen Chen, Fatimah Alghamdi, Siraj Uddin
In this paper, we study the geometry of pointwise semi-slant warped products in a locally conformal Kaehler manifold. In particular, we obtain several results which extend Chen's i…
Gradient solitons on statistical manifolds
Adara M. Blaga, Bang-Yen Chen
We provide necessary and sufficient conditions for some particular couples of pseudo-Riemannian metrics and affine connections to be statistical structures if we have…
Existence and uniqueness theorems for pointwise slant immersions in complex space forms
Azeb Alghanemi, Noura M. Al-houiti, Bang-Yen Chen +1
An isometric immersion from an -dimensional Riemannian manifold into an almost Hermitian manifold of complex dimension…
A comprehensive survey on parallel submanifolds in Riemannian and pseudo-Riemannian manifolds
Bang-Yen Chen
A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden-Bortolotti connection. From s…
Conformal vector fields and Yamabe solitons
Nasser Bin Turki, Bang-Yen Chen, Sharief Deshmukh
In this paper, we use less topological restrictions and more geometric and analytic conditions to obtain some sufficient conditions on Yamabe solitons such that their metrics are Y…
Sharp growth estimates for warping functions in multiply warped product manifolds
Bang-Yen Chen, Shihshu Walter Wei
By applying an average method in PDE, we obtain a dichotomy between "constancy" and "infinity" of the warping functions on complete noncompact Riemannian manifolds for an appropria…
Geometry of warped product and CR-warped product submanifolds in Kaehler manifolds: modified version
Bang-Yen Chen
The warped product of two Riemannian manifolds and is the product manifold equipped with the warped product metric $g=g_1+…
Two-numbers and their applications - A survey
Bang-Yen Chen
The notion of two-numbers of connected Riemannian manifolds was introduced about 35 years ago in [Un invariant geometrique riemannien, C. R. Acad. Sci. Paris Math. 295 (1982), 389-…
Euclidean submanifolds with incompressible canonical vector field
Bang-Yen Chen
For a submanifold M in a Euclidean space, the tangential component x^T of the position vector field x of M is the most natural vector field tangent to the Euclidean submanifold, ca…
Euclidean submanifolds with conformal canonical vector field
Bang-Yen Chen, Sharief Deshmukh
The position vector field x is the most elementary and natural geometric object on a Euclidean submanifold . The position vector field plays very important roles in mathematics…
Warped Product Pointwise Bi-slant Submanifolds of Kaehler Manifolds
Bang-Yen Chen, Siraj Uddin
Warped product manifolds have been studied for a long period of time. In contrast, the study of warped product submanifolds from extrinsic point of view was initiated by the first…
Yamabe and quasi-Yamabe solitons on Euclidean submanifolds
Bang-Yen Chen, Sharief Deshmukh
In this paper we initiate the study of Yamabe and quasi-Yamabe solitons on Euclidean submanifolds whose soliton fields are the tangential components of their position vector fields…
Covering maps and ideal embeddings of compact homogeneous spaces
Bang-Yen Chen
The notion of ideal embeddings was introduced in [B.-Y. Chen, {Strings of Riemannian invariants, inequalities, ideal immersions and their applications.} The Third Pacific Rim Geome…
Classification of -ideal Lagrangian submanifolds in -dimensional complex space forms
Bang-Yen Chen, Franki Dillen, Joeri Van der Veken +1
It was proven in [B.-Y. Chen, F. Dillen, J. Van der Veken and L. Vrancken, Curvature inequalities for Lagrangian submanifolds: the final solution, Differ. Geom. Appl. 31 (2013), 80…
Differential geometry of rectifying submanifolds
Bang-Yen Chen
A space curve in a Euclidean 3-space is called a rectifying curve if its position vector field always lies in its rectifying plane. This notion of rectifying curves w…
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…
A simple characterization of generalized Robertson-Walker spacetimes
Bang-Yen Chen
A generalized Robertson-Walker spacetime is the warped product with base an open interval of the real line endowed with the opposite of its metric and base any Riemannian manifold.…
Classification of Ricci solitons on Euclidean hypersurfaces
Bang-Yen Chen, Sharief Deshmukh
A Ricci soliton on a Riemannian manifold is said to have concurrent potential field if its potential field is a concurrent vector field. Ricci solitons aris…
Ricci solitons and concurrent vector fields
Bang-Yen Chen, Sharief Deshmukh
A Ricci soliton on a Riemannian manifold is said to have concurrent potential field if its potential field is a concurrent vector field. In the first pa…