Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

The use of the symmetries of a physical system in the study of its dynamics has a long
history that goes back to the founders of c1assical mechanics. Symmetry-based tech niques …

Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …

In this paper, we discuss the reduction of symplectic Hamiltonian systems by scaling and
standard symmetries which commute. We prove that such a reduction process produces a …

We study the Sasaki cone of a CR structure of Sasaki type on a given closed manifold. We
introduce an energy functional over the cone and use its critical points to single out the …

We define reduction of locally conformal Kähler manifolds, considered as conformal
Hermitian manifolds, and we show its equivalence with an unpublished construction given …

arXiv:math/0411503v2 [math.DG] 11 Jan 2006 Page 1 arXiv:math/0411503v2 [math.DG] 11 Jan
2006 LOCALLY CONFORMALLY KAHLER MANIFOLDS. A SELECTION OF RESULTS. LIVIU …

A closed 3-form H∈ Ω 3 0 (M) defines an extension of Γ (TM) by Ω2 0 (M). This fact leads to
the definition of the group of H-twisted Hamiltonian symmetries Ham (M, J; H) as well as …

We present a reduction procedure for locally conformally symplectic manifolds with an action
of a Lie group preserving the conformal structure, with respect to any regular value of the …

A closed 3-form $ H\in\Omega^ 3_0 (M) $ defines an extension of $\Gamma (TM) $ by
$\Omega^ 2_0 (M) $. This fact leads to the definition of the group of $ H $-twisted …