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20062019
most citedClassifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields

20 citations · 87 across the 22 of their papers we have counts for

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Showing 2018Show all

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math.DG2018

Harmonic morphisms of Allof-Wallach spaces of positive curvature

Hajime Urakawa

An infinite family of distinct harmonic morphisms with minimal circle fibers from the 7-dimensional homogeneous Allof-Wallach spaces of positive curvature onto the 6-dimensional fl…

math.DG2018

Harmonic maps and biharmonic Riemanian submersions

Hajime Urakawa

Characterizations for Riemannian submersions to be harmonic or biharmonic are shown. Examples of biharmonic but not harmonic Riemannian submersions are shown.