A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries

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

Lectures on Special Lagrangian Submanifolds

These notes consist of a study of special Lagrangian submanifolds of Calabi-Yau manifolds and their moduli spaces. The particular case of three dimensions, important in string theory, allows us to introduce the notion of gerbes. These offer an appropriate language for describing many significant features of the Strominger-Yau-Zaslow approach to mirror symmetry.

متن کامل

Connected Sums of Special Lagrangian Submanifolds

Let M1 and M2 be special Lagrangian submanifolds of a compact Calabi-Yau manifold X that intersect transversely at a single point. We can then think of M1∪M2 as a singular special Lagrangian submanifold of X with a single isolated singularity. We investigate when we can regularize M1 ∪ M2 in the following sense: There exists a family of Calabi-Yau structures Xα on X and a family of special Lagr...

متن کامل

Deformations of Asymptotically Conical Special Lagrangian Submanifolds

The naive approach is to parametrize these deformations as the zero-set of a “mean curvature operator”, then study them using the implicit function theorem. However, this entails a good understanding of the Jacobi operator of the initial submanifold Σ, which in general is not possible. The work of Oh and, more recently, of McLean (cfr. [Oh], [ML]) shows that, in the “right” geometric context, t...

متن کامل

Special Lagrangian submanifolds in the complex sphere

Special Lagrangian submanifolds may be defined as those submanifolds which are both Lagrangian (an order 1 condition) and minimal (an order 2 condition). Alternatively, they are characterised as those submanifolds which are calibrated by a certain n-form (cf [HL]), so they have the remarkable property of being area minimizing. Their study have received many attention recently since connections ...

متن کامل

A Bernstein Type Result for Special Lagrangian Submanifolds

The well-known Bernstein theorem states any complete minimal surface that can be written as the graph of a function on R must be a plane. This type of result has been generalized in higher dimension and codimension under various conditions. See [2] and the reference therein for the codimension one case and [1], [3], and [6] for higher codimension case. In this note, we prove a Bernstein type re...

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: Tokyo Journal of Mathematics

سال: 2020

ISSN: 0387-3870

DOI: 10.3836/tjm/1502179306