Andrzej Derdzinski

Local Classification of Conformally-Einstein Kähler Metrics in Higher Dimensions

The requirement that a (non-Einstein) Kahler metric in any given complex dimension

Special Kahler-Ricci potentials on compact Kahler manifolds

m > 2

A Myers-type theorem and compact Ricci solitons

be almost-everywhere conformally Einstein turns out to be much more restrictive, even locally, than in the case of complex surfaces. The local biholomorphic-isometry types of such metrics depend, for each

Connections with Skew-Symmetric Ricci Tensor on Surfaces

m > 2

Walker's theorem without coordinates

, on three real parameters along with an arbitrary Kahler?Einstein metric

Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds

h

Chapter 4 – Einstein Metrics in Dimension Four

in complex dimension

On compact manifolds admitting indefinite metrics with parallel Weyl tensor

m - 1

A condition for positivity of curvature

. We provide an explicit description of all these local-isometry types, for any given

Zeros of conformal fields in any metric signature

h