### Minimizing Harmonic Mappings form a surface perfored with small holes into a riemannian manifold.

Sami Baraket, Dong Ye (1992)

Manuscripta mathematica

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Sami Baraket, Dong Ye (1992)

Manuscripta mathematica

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Yunhee Euh, Jeong Hyeong Park, Kouei Sekigawa (2017)

Czechoslovak Mathematical Journal

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We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. Moreover, some applications of the curvature identity are given. We also define a generalization of harmonic manifolds to study the Lichnerowicz conjecture for a harmonic manifold “a harmonic manifold is locally symmetric” and provide another proof of the Lichnerowicz conjecture refined by Ledger for the 4-dimensional...

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Manuscripta mathematica

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Balkan Journal of Geometry and its Applications (BJGA)

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Matematički Vesnik

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International Journal of Mathematics and Mathematical Sciences

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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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