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most citedRecent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions

1.3k 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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Showing math.DGShow all

16 papers · 1 filter

math.DG2018

Some remarks on bi-f-harmonic maps and f-biharmonic maps

Yong Luo, Ye-Lin Ou

In this paper, we prove that the class of bi-f-harmonic maps and that of f-biharmonic maps from a conformal manifold of dimension not equal to 2 are the same (Theorem 1.1). We also…

math.DG2018★ 2 cited

Biharmonic Riemannian submersions

Mehmet Akif Akyol, Ye-Lin Ou

In this paper, we study biharmonic Riemannian submersions. We first derive bitension field of a general Riemannian submersion, we then use it to obtain biharmonic equations for Rie…

math.DG2017★ 1 cited

Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps

Elsa Ghandour, Ye-Lin Ou

Harmonic morphisms are maps between Riemannian manifolds that pull back harmonic functions to harmonic functions. These maps are characterized as horizontally weakly conformal harm…

math.DG2016★ 1 cited

f-Biharmonic maps and f-biharmonic submanifolds II

Ye-Lin Ou

We continue our study [Ou4] of f-biharmonic maps and f-biharmonic submanifolds by exploring the applications of f-biharmonic maps and the relationships among biharmonicity, f-bihar…

math.DG2015

Some recent progress of biharmonic submanifolds

Ye-Lin Ou

In this note, we give a brief survey on some recent developments of biharmonic submanifolds. After reviewing some recent progress on Chen's biharmonic conjecture, the Generalized C…

math.DG2015★ 7 cited

Biharmonic and f-biharmonic maps from a 2-sphere

Ze-Ping Wang, Ye-Lin Ou, Han-Chun Yang

We study biharmonic maps and f-biharmonic maps from a round sphere , the latter maps are equivalent to biharmonic maps from Riemann spheres . We prove…

math.DG2013★ 22 cited

Biharmonic maps from a 2-sphere

Ze-Ping Wang, Ye-Lin Ou, Han-Chun Yang

Motivated by the rich theory of harmonic maps from a 2-sphere, we study biharmonic maps from a 2-sphere in this paper. We first derive biharmonic equation for rotationally symmetri…

math.DG2013★ 28 cited

On f-biharmonic maps and f-biharmonic submanifolds

Ye-Lin Ou

f-Biharmonic maps are the extrema of the f-bienergy functional. f-biharmonic submanifolds are submanifolds whose defining isometric immersions are f-biharmonic maps. In this paper,…

math.DG2011★ 43 cited

Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries

Ye-Lin Ou, Ze-Ping Wang

We prove that a totally umbilical biharmonic surface in any -dimensional Riemannian manifold has constant mean curvature. We use this to show that a totally umbilical surface in…

math.DG2010

Biharmonic maps in two dimensions

Ye-Lin Ou, Sheng Lu

Biharmonic maps between surfaces are studied in this paper. We compute the bitension field of a map between surfaces with conformal metrics in complex coordinates. As applications,…

math.DG2010★ 36 cited

Biharmonic Riemannian submersions from 3-manifolds

Ze-Ping Wang, Ye-Lin Ou

An important theorem about biharmonic submanifolds proved independently by Chen-Ishikawa [CI] and Jiang [Ji] states that an isometric immersion of a surface into 3-dimensional Eucl…

math.DG2009★ 8 cited

Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces

Ye-Lin Ou

We give several construction methods and use them to produce many examples of proper biharmonic maps including biharmonic tori of any dimension in Euclidean spheres (Theorem 2.2, C…

math.DG2009★ 3 cited

Biharmonic hypersurfaces in Riemannian manifolds

Ye-Lin Ou

We study biharmonic hypersurfaces in a generic Riemannian manifold. We first derive an invariant equation for such hypersurfaces generalizing the biharmonic hypersurface equation i…

math.DG2008★ 1 cited

Infinity-harmonic maps and morphisms

Ye-Lin Ou, Tiffany Troutman, Frederick Wilhelm

We propose a new notion called \emph{infinity-harmonic maps}between Riemannain manifolds. These are natural generalizations of the well known notion of infinity harmonic functions…

math.DG2008★ 2 cited

On conformal biharmonic immersions

Ye-Lin Ou

This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain…

math.DG2008★ 2 cited

Biharmonic maps and morphisms from conformal mappings

E. Loubeau, Y. -L. Ou

Inspired by the all-important conformal invariance of harmonic maps on two-dimensional domains, this article studies the relationship between biharmonicity and conformality. We fir…