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- W2085013946 abstract "Given three harmonic eigenmaps between spheres, we discuss the possibility of representing the homotopy class of their join by a harmonic map. This is done by minimizing energy in a suitable class of equivariant W 1,2 mappings, followed by a discussion of the regularity of the minimizer. Sufficient conditions for its smoothness are proved, which imply existence of a (smooth) harmonic representative. As an application we have several new examples of nontrivial harmonic maps between spheres, including harmonic maps representing all elements of π 10 (S 10 ), π 11 (S 11 ), and π 17 (S 17 )." @default.
- W2085013946 created "2016-06-24" @default.
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- W2085013946 date "1998-11-01" @default.
- W2085013946 modified "2023-09-25" @default.
- W2085013946 title "CONSTRUCTION OF HARMONIC MAPS BETWEEN SPHERES BY JOINING THREE EIGENMAPS" @default.
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- W2085013946 doi "https://doi.org/10.1142/s0129167x98000348" @default.
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