Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space

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

Lagrangian Curves in a 4-dimensional affine symplectic space

Lagrangian curves in R entertain intriguing relationships with second order deformation of plane curves under the special affine group and null curves in a 3-dimensional Lorentzian space form. We provide a natural affine symplectic frame for Lagrangian curves. It allows us to classify Lagrangrian curves with constant symplectic curvatures, to construct a class of Lagrangian tori in R and determ...

متن کامل

Symplectic Embeddings of 4-dimensional Ellipsoids

We show how to reduce the problem of symplectically embedding one 4dimensional rational ellipsoid into another to a problem of embedding disjoint unions of balls into appropriate blow ups of CP . For example, the problem of embedding the ellipsoid E(1, k) into a ball B is equivalent to that of embedding k disjoint equal balls into CP , and so can be solved by the work of Gromov, McDuff–Polterov...

متن کامل

Bifurcations in Symplectic Space

In this paper we take new steps in the theory of symplectic and isotropic bifurcations, by solving the classification problem under a natural equivalence in several typical cases. Moreover we define the notion of coisotropic varieties and formulate also the coisotropic bifurcation problem. We consider several symplectic invariants of isotropic and coisotropic varieties, providing illustrative e...

متن کامل

New symplectic 4-manifolds with nonnegative signature

We construct new families of symplectic 4-manifolds with nonnegative signature that are interesting with respect to the geography problem. In particular, we construct an irreducible symplectic 4-manifold that is homeomorphic to mCP#mCP for each odd integer m satisfying m ≥ 49.

متن کامل

Odd Dimensional Symplectic Manifolds

In this thesis, we introduce the odd dimensional symplectic manifolds. In the first half we study the Hodge theory on the basic symplectic manifolds. We can define two cohomology theories on them, the standard basic de Rham cohomology gheory and a basic version of the Koszul-Brylinski-Mathieu 'harmonic' symplectic cohomology theory. Among our main results are a collection of examples for which ...

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: Communications in Advanced Mathematical Sciences

سال: 2019

ISSN: 2651-4001

DOI: 10.33434/cams.643076