Results 21 to 30 of about 677 (61)
Biharmonic maps on V‐manifolds
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 477-484, 2001., 2001 We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V‐manifolds. We obtain the first and second variations of biharmonic maps on V‐manifolds. Since a biharmonic map from a compact V‐manifold into a Riemannian manifold of nonpositive curvature is harmonic, we construct a biharmonic non‐harmonic map into a sphere.
Yuan-Jen Chiang, Hongan Sun
wiley +1 more source
Harmonic Maps to Teichmüller Space
, 2000 We give sufficient conditions for the existence of equivariant harmonic maps from the universal cover of a Riemann surface B to the Teichmuller space of a genus g ≥ 2 surface Σ.
Georgios D. Daskalopoulos +2 more
semanticscholar +1 more source
Existence of multiple critical points for an asymptotically quadratic functional with applications
Abstract and Applied Analysis, Volume 1, Issue 3, Page 277-289, 1996., 1996 Morse theory for isolated critical points at infinity is used for the existence of multiple critical points for an asymptotically quadratic functional. Applications are also given for the existence of multiple nontrivial periodic solutions of asymptotically Hamiltonian systems.
Shujie Li, Jiabao Su
wiley +1 more source
Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds
, 2014 We construct 4-dimensional Riemannian Lie groups carrying left-invariant conformal foliations with minimal leaves of codimension 2. We show that these foliations are holomorphic with respect to an (integrable) Hermitian structure which is not K\" ahler ...
Gudmundsson, Sigmundur
core +1 more source
Actions of loop groups on harmonic maps
, 1991 We describe a general framework in which subgroups of the loop group AGIn(: act on the space of harmonic maps from S2 to Gln(: . This represents a simplification of the action considered by Zakharov-Mikhailov-Shabat [ZM, ZS] in that we take the contour ...
M. Bergvelt, M. Guest
semanticscholar +1 more source
Commentary on “Nonunique tangent maps at isolated singularities of harmonic maps” by Brian White
, 2018 Immediately following the commentary below, this previously published article is reprinted in its entirety: Brian White, “Nonunique tangent maps at isolated singularities of harmonic maps”, Bull. Amer. Math. Soc. (N.S.) 26 (1992), no. 1, 123–129.
W. Minicozzi
semanticscholar +1 more source
A generalisation of the Hopf Construction and harmonic morphisms into $\s^2$
, 2009 In this paper we construct a new family of harmonic morphisms $\varphi:V^5\to\s^2$, where $V^5$ is a 5-dimensional open manifold contained in an ellipsoidal hypersurface of $\c^4=\r^8$.
Montaldo, S., Ratto, A.
core +1 more source
Harmonic maps with finite total energy
, 1996 We will give a criteria for a nonnegative subharmonic function with finite energy on a complete manifold to be bounded. Using this we will prove that if on a complete noncompact Riemannian manifold M , every harmonic function with finite energy is ...
Shiu-yuen Cheng, Luen-Fai Tam, T. Y. Wan
semanticscholar +1 more source
, 2000 Problems related to minimal maps are studied. In particular, we prove an existence result for the Dirichlet problem at infinity for minimal diffeomorphisms between the hyperbolic discs.
R. Aiyama, K. Akutagawa, T. Y. Wan
semanticscholar +1 more source
III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space
Annals of the West University of Timisoara: Mathematics and Computer ScienceSome work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
doaj +1 more source