p-Harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps

By Ye-lin Ou. 2006

76 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/08b5e01abed06ce4ef5aaca477615eb50770be0e

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In Applied Mathematics

In Astronomy and Astrophysics

In Geometry and Topology

Citations in the corpus

Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces (2009, background): “(2) The composition of minimal isometric immersion S( 1 √ 2 ) →֒ S( 1 √ 2 ) followed by the inclusion S( 1 √ 2 ) →֒ S ([6], [19]), the composition of Veronese map: S(2)( √ 3) →֒ S(4)( 1 √ 2 ) →֒ S(5) ([6]); (3) The composition of the Hopf map and the inclusion: S(3)( 1 √ 2 ) −→ S(2)( 1 √ 2 ) →֒ S(3)”
A short survey on biharmonic maps between Riemannian manifolds (2005, background): “ic function on M. In the case of polynomial biharmonic morphisms between Euclidean spaces there is a full classiﬁcation. A SHORT SURVEY ON BIHARMONIC MAPS BETWEEN RIEMANNIAN MANIFOLDS 17 Theorem 8.6 ([48]). Let φ: Rm → Rn be a polynomial biharmonic morphism, i.e. a biharmonic morphism whose componen”
Biharmonic submanifolds of $${\mathbb{C}P^n}$$ (2009, background): “The analytic aspects of biharmonic maps as well as the differential geometry of such maps have been studied in the last decade (see, for example, [7, 17, 22, 23] and [2, 10, 16, 21, 24], respectively).”
Classification results for biharmonic submanifolds in spheres (2007, background): “encouraged the study of proper biharmonic submanifolds in spheres and other curved spaces [2, 3, 10, 11, 13, 15].”
Biharmonic maps and morphisms from conformal mappings (2008, background): “However, the radial projection φ : R \ {0} → Sm−1, φ(x) = x/|x| is a biharmonic morphism if and only if m = 4 [19].”