Kähler and symplectic structures on nilmanifolds

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions

Divergence functions play a central role in information geometry. Given a manifold M, a divergence function D is a smooth, nonnegative function on the product manifold M×M that achieves its global minimum of zero (with semi-positive definite Hessian) at those points that form its diagonal submanifold Mx. It is well-known (Eguchi, 1982) that the statistical structure on M (a Riemmanian metric wi...

متن کامل

Symplectic nilmanifolds with a symplectic non-free Z3-action

In [15] the authors have introduced a new technique to produce symplectic manifolds. It consists on taking a symplectic non-free action of a finite group on a symplectic manifold and resolving symplectically the singularities of the quotient. This has allowed to produce the first example of a non-formal simply connected compact symplectic manifold of dimension 8. Here we present another descrip...

متن کامل

Invariants of Complex Structures on Nilmanifolds

Let (N, J) be a simply connected 2n-dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on N compatible with J to be minimal, if it minimizes the norm of the invariant part of the Ricci tensor among all compatible metrics with the same scalar curvature. In [7], J. Lauret proved that minimal metrics (if any) are unique up to i...

متن کامل

Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.

متن کامل

Symplectic structures on fiber bundles

Let π : P → B be a locally trivial fiber bundle over a connected CW complex B with fiber equal to the closed symplectic manifold (M,ω). Then π is said to be a symplectic fiber bundle if its structural group is the group of symplectomorphisms Symp(M,ω), and is called Hamiltonian if this group may be reduced to the group Ham(M,ω) of Hamiltonian symplectomorphisms. In this paper, building on prior...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Topology

سال: 1988

ISSN: 0040-9383

DOI: 10.1016/0040-9383(88)90029-8