ON THE GEOMETRY OF SOME 4-DIMENSIONAL EINSTEIN MANIFOLDS

Raina Ivanova

Key words: A skew-symmetric curvature operator, 4-dimensional
Einstein manifolds, characterizing functions, global constants
of the manifold.

1991 Math. Subject Classification: 53C25.

Abstract: Using a skew-symmetric curvature operator a
classification of some 4-dimensional Einstein manifolds has been done
in [1]. In the present paper we study one of the classes of these
Einstein manifolds and answer the question about the global constancy
of the functions, characterizing them.