Biharmonic maps on V-manifolds by Yuan-Jen Chiang, Hongan Sun

“…We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. …”
Get full text

On Certain Classes of Biharmonic Mappings Defined by Convolution by J. Chen, X. Wang

“…We introduce a class of complex-valued biharmonic mappings, denoted by , together with its subclass , and then generalize the discussions in Ali et al. (2010) to the setting of and in a unified way.…”
Get full text

Recent Developments in Chen’s Biharmonic Conjecture and Some Related Topics by Bang-Yen Chen

“…Jiang investigated biharmonic maps between Riemannian manifolds as the critical points of the bi-energy functional. …”
Get full text

Geometry of Manifolds and Applications by Adara M. Blaga

“…This editorial presents 24 research articles published in the Special Issue entitled <i>Geometry of Manifolds and Applications</i> of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their submanifolds, providing some of the latest achievements in many branches of theoretical and applied mathematical studies, among which is counted: the geometry of differentiable manifolds with curvature restrictions such as complex space forms, metallic Riemannian space forms, Hessian manifolds of constant Hessian curvature; optimal inequalities for submanifolds, such as generalized Wintgen inequality, inequalities involving <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-invariants; homogeneous spaces and Poisson–Lie groups; the geometry of biharmonic maps; solitons (Ricci solitons, Yamabe solitons, Einstein solitons) in different geometries such as contact and paracontact geometry, complex and metallic Riemannian geometry, statistical and Weyl geometry; perfect fluid spacetimes [...]…”
Get full text