Article ID Journal Published Year Pages File Type
4606325 Differential Geometry and its Applications 2009 10 Pages PDF
Abstract

In this paper we prove that, in contrast with the SnSn and CPnCPn cases, there are harmonic 2-tori into the quaternionic projective space HPnHPn which are neither of finite type nor of finite uniton number; we also prove that any harmonic 2-torus in a compact Riemannian symmetric space which can be obtained via the twistor construction is of finite type if and only it is constant; in particular, we conclude that any harmonic 2-torus in CPnCPn or SnSn which is simultaneously of finite type and of finite uniton number must be constant.

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Physical Sciences and Engineering Mathematics Analysis
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