Results 11 to 20 of about 897 (41)
Biharmonic Riemannian submersions from 3-manifolds
, 2010 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 Euclidean space is biharmonic if and only if it is harmonic (i.e, minimal). In
B. Fuglede +15 more
core +1 more source
Curvature conditions for complex-valued harmonic morphisms
, 2014 We study the curvature of a manifold on which there can be defined a complex-valued submersive harmonic morphism with either, totally geodesic fibers or that is holomorphic with respect to a complex structure which is compatible with the second ...
Nordström, Jonas
core +1 more source
Harmonic morphisms on heaven spaces [PDF]
, 2007 We prove that any (real or complex) analytic horizontally conformal submersion from a three-dimensional conformal manifold M to a two-dimensional conformal manifold N can be, locally, `extended' to a unique harmonic morphism from the heaven space of M to N.
arxiv +1 more source
On the existence of harmonic morphisms from three-dimensional Lie groups [PDF]
arXiv, 2010 In this paper we classify those three-dimensional Riemannian Lie groups which admit harmonic morphisms to surfaces.
arxiv
Harmonic maps and biharmonic Riemanian submersions [PDF]
arXiv, 2018 Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of biharmonic but not harmonic Riemannian submersions are shown.
arxiv
Biharmonic Hermitian vector bundles over compact Kaehlar Einstein manifolds [PDF]
arXiv, 2019 In this paper, we show that, for every Hermitian vector bundle over a compact Kaehler Einstein manifold, if the projection is biharmonic, then it is harmonic.
arxiv
Multi-Time Dependent Sprays and Harmonic Maps on $J^1(T,M)$ [PDF]
M. Neagu, C. Udriste, A. Oana: "Multi-Time dependent sprays and
h-traceless maps", Balkan J. of Geom. and Appl., 10, 2 (2005), 76-92, 2000 In this paper are constructed a series of geometrical objects on the 1-jet fibre bundle $J^1(T,M)$, which is a basic object in the study of classical and quantum field.
arxiv
A geometric theory of harmonic and semi-conformal maps [PDF]
arXiv, 2003 We describe for any Riemannian manifold a certain infinitesimal neighbourhood of the diagonal. Semi-conformal maps are analyzed as those that preserve such neighbourhoods; harmonic maps are analyzed as those that preserve mirror image formation for pairs of points in such neighbourhoods.
arxiv
Harmonic morphisms between Weyl spaces and twistorial maps [PDF]
arXiv, 2004 We show that Weyl spaces provide a natural context for harmonic morphisms.
arxiv
Harmonic morphisms with one-dimensional fibres on conformally-flat Riemannian manifolds [PDF]
arXiv, 2006 We classify the harmonic morphisms with one-dimensional fibres (1) from real-analytic conformally-flat Riemannian manifolds of dimension at least four, and (2) between conformally-flat Riemannian manifolds of dimensions at least three.
arxiv