HOMOGENEOUS EINSTEINWEYL STRUCTURES
ON SYMMETRIC SPACES
MEGAN M. KERR
Abstract. In this paper we examine homogeneous EinsteinWeyl structures and classify them
on compact irreducible symmetric spaces. We nd that the invariant EinsteinWeyl equation
is very
PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY
Volume 00, Number 0, Pages 000000
S 0002-9939(XX)0000-0
A DEFORMATION OF QUATERNIONIC HYPERBOLIC SPACE
MEGAN M. KERR
Abstract. We construct a continuous family of new homogeneous Einstein spaces with negati
LOW-DIMENSIONAL HOMOGENEOUS EINSTEIN MANIFOLDS
CHRISTOPH BOHM AND MEGAN M. KERR
A closed Riemannian manifold (M n , g) is called Einstein if the Ricci tensor of g is a multiple
of itself; that is, ric(g) = g. This equation, called the Einstein equation, i
NEW HOMOGENEOUS EINSTEIN METRICS
OF NEGATIVE RICCI CURVATURE
CAROLYN S. GORDON AND MEGAN M. KERR
Abstract. We construct new homogeneous Einstein spaces with negative Ricci curvature in two ways:
First, we give a method for classifying and constructing a c
THE GEOMETRY OF COMPACT HOMOGENEOUS SPACES
WITH TWO ISOTROPY SUMMANDS
WILLIAM DICKINSON AND MEGAN M. KERR
Abstract. We give a complete list of all homogeneous spaces M = G/H where G is a simple compact Lie
group, H a connected, closed subgroup, and G/H is