Geometric structures on filtered manifolds

Geometric structures on manifolds

This document is a sample prepared to illustrate the use of the American Mathematical Society’s LTEX document class amsbook and publication-specific variants of that class.

Geometric structures on 3–manifolds

The evolution of geometric structures on 3-manifolds

This paper gives an overview of the geometrization conjecture and approaches to its proof.

Geometric Hamiltonian Structures on Flat Semisimple Homogeneous Manifolds

In this paper we describe Poisson structures defined on the space of Serret-Frenet equations of curves in a flat homogeneous space G/H where G is semisimple. These structures are defined via Poisson reduction from Poisson brackets on Lg∗, the space of Loops in g∗. We also give conditions on invariant geometric evolution of curves in G/H which guarantee that the evolution induced on the differen...

Algebraic Structures on Hyperkähler Manifolds Algebraic Structures on Hyperkähler Manifolds

Let M be a compact hyperkähler manifold. The hy-perkähler structure equips M with a set R of complex structures parametrized by CP 1 , called the set of induced complex structures. It was known previously that induced complex structures are non-algebraic, except may be a countable set. We prove that a countable set of induced complex structures is algebraic, and this set is dense in R. A more g...