Results 11 to 20 of about 469 (50)
Unique continuation theorems for biharmonic maps
Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 603-621, August 2019., 2019 Abstract We prove several unique continuation results for biharmonic maps between Riemannian manifolds.
Volker Branding, Cezar Oniciuc
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Smooth long‐time existence of Harmonic Ricci Flow on surfaces
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 277-304, February 2017., 2017 Abstract We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long‐time existence for the Harmonic Ricci Flow with large coupling constant.
Reto Buzano, Melanie Rupflin
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Minimizing energy among homotopic maps
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 30, Page 1599-1611, 2004., 2004 We study an energy minimizing sequence {ui} in a fixed homotopy class of smooth maps from a 3‐manifold. After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy ...
Pengzi Miao
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Harmonicity of horizontally conformal maps and spectrum of the Laplacian
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 12, Page 709-715, 2002., 2002 We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ : M → N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N is noncompact, then Φ must be constant.
Gabjin Yun
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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
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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
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Complete minimal submanifolds of compact Lie groups
, 2013 We give a new method for manufacturing complete minimal submanifolds of compact Lie groups and their homogeneous quotient spaces. For this we make use of harmonic morphisms and basic representation theory of Lie groups.
Gudmundsson, Sigmundur +2 more
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Harmonic morphisms from the classical compact semisimple Lie groups
, 2007 In this paper we introduce a new method for manufacturing harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with their standard Riemannian ...
Gudmundsson, Sigmundur, Sakovich, Anna
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On the harmonicity of normal almost contact metric structures
, 2011 We consider normal almost contact structures on a Riemannian manifold and, through their associated sections of an ad-hoc twistor bundle, study their harmonicity, as sections or as maps.
Loubeau, E., Vergara-Diaz, E.
core
On p-harmonic self-maps of spheres. [PDF]
Calc Var Partial Differ Equ, 2023 Branding V, Siffert A.
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