Correction to "A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry"

The dimension of the (0,^)-cohomology group of E(J^) is expressed by means of this formula. We denote by ad 4. the representation of K on the exterior product space A^ induced from

An interested Reader with a background in K¨ ahler geometry will easily realize that existence of such rational curves (albeit only with negative self intesection) is detectable

Shen and Zhang [29] generalized Mo’s work to Finsler target manifolds, derived the first and second variation formulae, proved non-existence of non-constant stable harmonic maps

Moreover, in view of Remark 1.5, Corollary 1.4 gives another proof of the fact that the second bounded cohomology group of a free group in at least two generators is

The results are: (i) Einstein metrics are real analytic in harmonic coordinates, (ii) a unique continuation theorem: if two Einstein metrics agree on an open set, then up to

A Riemannian version of the celebrated Goldberg-Sachs theorem of Gen- eral Relativity implies that a Riemannian Einstein 4-manifold locally admits a positively oriented

In Section 6, we are able to detect the non-existence of both complex and symplectic structures in the 3-step case, for which the various classes are best visualized

Key words: Compact Kâhler manifold, semipositive Ricci curvature, complex torus, symplectic manifold, Calabi-Yau manifold, Albanese map, fundamental group, Bochner