Displaying similar documents to “The spectrum of the 6 -Laplacian on Kähler manifolds”

QCH Kähler manifolds with κ = 0

Włodzimierz Jelonek (2014)

Colloquium Mathematicae

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The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.

4-dimensional anti-Kähler manifolds and Weyl curvature

Jaeman Kim (2006)

Czechoslovak Mathematical Journal

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On a 4-dimensional anti-Kähler manifold, its zero scalar curvature implies that its Weyl curvature vanishes and vice versa. In particular any 4-dimensional anti-Kähler manifold with zero scalar curvature is flat.

Traceless component of the conformal curvature tensor in Kähler manifold

Shoichi Funabashi, Hyang Sook Kim, Y.-M. Kim, Jin Suk Pak (2006)

Czechoslovak Mathematical Journal

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We investigate the traceless component of the conformal curvature tensor defined by (2.1) in Kähler manifolds of dimension ≥ 4 , and show that the traceless component is invariant under concircular change. In particular, we determine Kähler manifolds with vanishing traceless component and improve some theorems (for example, [4, pp. 313–317]) concerning the conformal curvature tensor and the spectrum of the Laplacian acting on p ( 0 ≤ p ≤ 2 ) -forms on the manifold by using the traceless...

Kähler manifolds of quasi-constant holomorphic sectional curvatures

Georgi Ganchev, Vesselka Mihova (2008)

Open Mathematics

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The Kähler manifolds of quasi-constant holomorphic sectional curvatures are introduced as Kähler manifolds with complex distribution of codimension two, whose holomorphic sectional curvature only depends on the corresponding point and the geometric angle, associated with the section. A curvature identity characterizing such manifolds is found. The biconformal group of transformations whose elements transform Kähler metrics into Kähler ones is introduced and biconformal tensor invariants...