Results 231 to 240 of about 448,431 (274)

Harmonic and quasi-harmonic spheres

Communications in Analysis and Geometry, 1999
Let \(M\), \(N\) be smooth compact Riemannian manifolds without boundary, \(m= \dim M\) and the sectional curvature of \(N\) is nonpositive, and \(\phi:M\to N\) be a smooth map. This paper deals with the following conjecture: Any weakly harmonic map of finite energy from \(M\) to \(N\) is smooth provided that there are no harmonic spheres \(S^l\) in ...
Lin, Fanghua, Wang, Changyou
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Harmonic maps and harmonic morphisms

Journal of Mathematical Sciences, 1999
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Sets of Harmonicity for Finely Harmonic Functions

Potential Analysis, 2004
The author establishes the sharpness of a theorem of Fuglede. \textit{B. Fuglede} [Ann. Inst. Fourier 24, No. 4, 77--91 (1974; Zbl 0287.31003)] observed the following result. Let \(U\) be an open set in \({\mathbb R}^n\) (\(n\geq 2\)). If \(u\) is finely harmonic on \(U\), then there is a dense open subset \(V\) of \(U\) on which \(u\) is harmonic. The
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Neighborhoods of Harmonic and Stable Harmonic Mappings

Bulletin of the Malaysian Mathematical Sciences Society
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Bappaditya Bhowmik, Santana Majee
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Conservation Laws, Equivariant Harmonic Maps and Harmonic Morphisms

Proceedings of the London Mathematical Society, 1992
The authors use isoparametric functions and the conservation law for harmonic maps (in terms of the stress-energy tensor) to generalize the Uhlenbeck construction of equivariant minimal 2-spheres and tori in spheres, and to obtain new examples of harmonic morphisms between spheres (with conformally equivalent metrics), complex projective spaces (with ...
BAIRD P, RATTO, ANDREA
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Harmonizing the Harmonized System

SSRN Electronic Journal, 2022
Piotr Lukaszuk, David Torun
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Harmonic inharmonicity: Eliminating beats with quantized harmonics

Applied Acoustics, 2023
Nils Wandel, Christian R. Klein, Reinhard Klein   +2 more
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Harmonizing High Harmonics

Science, 2007
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1-Harmonic Spaces are Harmonic

Bulletin of the London Mathematical Society, 1981
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Generation of even and odd high harmonics in resonant metasurfaces using single and multiple ultra-intense laser pulses

Nature Communications, 2021
Maxim R Shcherbakov, Michael Tripepi, Giovanni Sartorello   +2 more
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