On contact metric -harmonic manifolds.
Arslan, K., Murathan, C., Özgür, C., Yildiz, A. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Arslan, K., Murathan, C., Özgür, C., Yildiz, A. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Choi, Gundon, Yun, Gabjin (2005)
International Journal of Mathematics and Mathematical Sciences
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Mangione, Vittorio (2008)
International Journal of Mathematics and Mathematical Sciences
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Atsushi Tachikawa (1992)
Manuscripta mathematica
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Huybrechts, Daniel (2001)
Documenta Mathematica
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Atsushi Tachikawa (1985)
Manuscripta mathematica
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Tsagas, Gr., Bitis, Gr. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Bent Fuglede (1978)
Annales de l'institut Fourier
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A harmonic morphism between Riemannian manifolds and is by definition a continuous mappings which pulls back harmonic functions. It is assumed that dim dim, since otherwise every harmonic morphism is constant. It is shown that a harmonic morphism is the same as a harmonic mapping in the sense of Eells and Sampson with the further property of being semiconformal, that is, a conformal submersion of the points where vanishes. Every non-constant harmonic morphism is shown to be...
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...
F. E. Burstall (1986)
Mathematische Annalen
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B. Johnson (1973)
Studia Mathematica
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