The Morse index of minimal products of minimal submanifolds in spheres

Tang and Zhang (2020) and Choe and Hoppe (2018) showed independently that one can produce minimal submanifolds in spheres via the Clifford type minimal product of minimal submanifolds. In this paper, we show that the minimal product is immersed by its first eigenfunctions (of its Laplacian) if and o...

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Veröffentlicht in:Science China. Mathematics 2023-04, Vol.66 (4), p.799-818
Hauptverfasser: Wang, Changping, Wang, Peng
Format: Artikel
Sprache:eng
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