Аннотация В работе излагаются результаты, относящиеся к теории геометрических
инвариантов вполне интегрируемых гамильтоновых систем, а также к классификации …

RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS Bang-Yen Chen 1.
Introduction 2. Basic properties 3. Obstructions to Lagrangian i Page 1 TAIWANESE …

In a previous paper the author has defined a Riemannian invariant δ for Riemannian
manifolds and has obtained some of its applications. In this article, we investigate this …

Let Cn be the n-dimensional complex Euclidean space,(,) the Euclidean metric and J the
canonical complex structure on C's. The Kaehler two form Q is given by Q (v, w)=(v, Jw), for …

Given an oriented immersed hypersurface in hyperbolic space H n+ 1 H^n+1, its Gauss map
is defined with values in the space of oriented geodesics of H n+ 1 H^n+1, which is …

This paper presents results concerning the geometric invariant theory of completely
integrable Hamiltonian systems and also the classification of integrable cases of low …

A new family of Hamiltonian-minimal Lagrangian tori in the complex Euclidean plane is
constructed. They are the first known unstable ones and are characterized in terms of being …

arxiv:math/0606428v1 [math.DG] 18 Jun 2006 Page 1 arxiv:math/0606428v1 [math.DG] 18
Jun 2006 MEAN CURVATURE FLOW OF MONOTONE LAGRANGIAN SUBMANIFOLDS K …

We study the first and second variations of isotropic submanifolds which preserve the
isotropy. In order to do so, we introduce the notions of harmonic, exact and isotropic …

In this note we prove a simple relation between the mean curvature form, symplectic area,
and the Maslov class of a Lagrangian immersion in a Kähler-Einstein manifold. An …