Self-Dual Manifolds with Positive Ricci Curvature
Claude LeBrun, Shin Nayatani, Takashi Nitta
Abstract
We prove that the connected sums CP2 # CP2 and CP2 # CP2 # CP2 admit self-dual metrics with positive Ricci curvature. Moreover, every self-dual metric of positive scalar curvature on CP2 # CP2 is conformal to a metric with positive Ricci curvature.
Create a lesson
Related papers
Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups
D. V. Alekseevsky, V. Cortes
Equivariant K-Theory of Simply Connected Lie Groups
Jean-Luc Brylinski, Bin Zhang
Continuous families of isospectral metrics on simply connected manifolds
Dorothee Schueth
The beta function of a knot
Jean-Luc Brylinski
Prescribing Mean Curvature: Existence and Uniqueness Problems
George I. Kamberov
On the Spinor Representation of Surfaces in Euclidean 3-Space
Thomas Friedrich