EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 22

Sine - Laplace Equation, Sinh-Laplace Equation and Harmonic Maps.

Hu Hesheng (1982)

Manuscripta mathematica

Some constancy results for harmonic maps from non-contractable domains into spheres.

Zhang, Kewei (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Some constructions of biharmonic maps on the warped product manifolds

Abdelmadjid Bennouar, Seddik Ouakkas (2017)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we characterize a class of biharmonic maps from and between product manifolds in terms of the warping function. Examples are constructed when one of the factors is either Euclidean space or sphere.

Some examples of harmonic maps for $g$ -natural metrics

Mohamed Tahar Kadaoui Abbassi, Giovanni Calvaruso, Domenico Perrone (2009)

Annales mathématiques Blaise Pascal

We produce new examples of harmonic maps, having as source manifold a space $(M, g)$ of constant curvature and as target manifold its tangent bundle $T M$ , equipped with a suitable Riemannian $g$ -natural metric. In particular, we determine a family of Riemannian $g$ -natural metrics $G$ on $T 𝕊^{2}$ , with respect to which all conformal gradient vector fields define harmonic maps from $𝕊^{2}$ into $(T 𝕊^{2}, G)$ .

Some properties and applications of harmonic mappings

J. H. Sampson (1978)

Annales scientifiques de l'École Normale Supérieure

Some properties of exponentially harmonic maps

James Eells, Luc Lemaire (1992)

Banach Center Publications

Some results on the geometry of full flag manifolds and harmonic maps.

Paredes, Marlio (2000)

Revista Colombiana de Matemáticas

Spectral geometry of harmonic maps into warped product manifolds. II.

Yun, Gabjin (2001)

International Journal of Mathematics and Mathematical Sciences

Stabilities of F-Yang-Mills fields on submanifolds

Gao-Yang Jia, Zhen Rong Zhou (2013)

Archivum Mathematicum

In this paper, we define an $F$ -Yang-Mills functional, and hence $F$ -Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of $F$ -Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.

Stability and Uniqueness Properties of the Equator Map from a Ball into an Ellipsoid.

Alfred Baldes (1984)

Mathematische Zeitschrift

Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.

Yoshihiro Ohnita, Seiichi Udagawa (1990)

Mathematische Zeitschrift

Stability of the equator map.

Kunio Sakamoto (1991)

Journal für die reine und angewandte Mathematik

Stable defects of minimizers of constrained variational principles

R. Hardt, D. Kinderlehrer, Fang-Hua Lin (1988)

Annales de l'I.H.P. Analyse non linéaire

Stable harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature

Jintang Li (2010)

Annales Polonici Mathematici

We study the stability of harmonic maps between Finsler manifolds and Riemannian manifolds with positive Ricci curvature, and we prove that if Mⁿ is a compact Einstein Riemannian minimal submanifold of a Riemannian unit sphere with Ricci curvature satisfying $R i c^{M} > n / 2$ , then there is no non-degenerate stable harmonic map between M and any compact Finsler manifold.

We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.

Currently displaying 1 – 20 of 22