55 citations · 205 across the 10 of their papers we have counts for
10 papers
Metric connections with parallel skew-symmetric torsion
Richard Cleyton, Andrei Moroianu, Uwe Semmelmann
A geometry with parallel skew-symmetric torsion is a Riemannian manifold carrying a metric connection with parallel skew-symmetric torsion. Besides the trivial case of the Levi-Civ…
Weak Mirror Symmetry of Complex Symplectic Algebras
Richard Cleyton, Gabriela P. Ovando, Yat Sun Poon
A complex symplectic structure on a Lie algebra $\lie h$ is an integrable complex structure with a closed non-degenerate -form. It is determined by and the real part…
Riemannian products which are conformally equivalent to Einstein metrics
Richard Cleyton
Necessary and sufficient conditions for a Riemannian product to be conformally equivalent to an Einstein manifold are given. Such spaces which are complete are characterized.
Weak mirror symmetry of Lie algebras
R. Cleyton, J. Lauret, Y. S. Poon
The existence of a flat torsion-free connection, or left symmetric algebra structure on a Lie algebra g gives rise to a canonically defined complex structure on g+g and a symplecti…
Differential Gerstenhaber algebras associated to nilpotent algebras
Richard Cleyton, Yat Sun Poon
This article provides a complete description of the differential Gerstenhaber algebras of all nilpotent complex structures on any real six-dimensional nilpotent algebra. As an appl…
Curvature decomposition of G_2 manifolds
Richard Cleyton, Stefan Ivanov
Explicit formulas for the -components of the Riemannian curvature tensor on a manifold with a structure are given in terms of Ricci contractions. We define a conformally…