Projective invariant metrics for Einstein spaces

Projective Invariant Metrics for Einstein Spaces

1786 - 0091 Projective Einstein Finsler Metrics

In the present paper, we investigate the necessary and sufficient condition of a given Finsler metric to be Einstein. The considered Einstein Finsler metric in the study describes all different kinds of Einstein metrics which are pointwise projective to the given one.

Moduli spaces of Einstein metrics

We discuss the space of Einstein metrics, up to diffeomorphism, on a compact manifold. In particular we mention some heuristics on its dimension and some theorems on its compactness.

Invariant Metrics on G-spaces

Let X be a G-space such that the orbit space X/G is metrizable. Suppose a family of slices is given at each point of X. We study a construction which associates, under some conditions on the family of slices, with any metric on X/G an invariant metric on X. We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and local...

Kähler–einstein Metrics on Log Del Pezzo Surfaces in Weighted Projective 3–spaces

A log del Pezzo surface is a projective surface with quotient singularities such that its anticanonical class is ample. Such surfaces arise naturally in many different contexts, for instance in connection with affine surfaces [Miyanishi81], moduli of surfaces of general type [Alexeev94], 3 and 4 dimensional minimal model program [Alexeev93]. They also provide a natural testing ground for existe...