Second Order Families of Special Lagrangian Submanifolds in ℂ4

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

2 00 3 Second Order Families of Special Lagrangian Submanifolds in C

This paper extends to dimension 4 the results in the article " Second Order Families of Special Lagrangian 3-folds " by Robert Bryant. We consider the problem of classifying the special Lagrangian 4-folds in C 4 whose fundamental cubic at each point has a nontrivial stabilizer in SO(4). Points on special Lagrangian 4-folds where the SO(4)-stabilizer is nontrivial are the analogs of the umbilica...

متن کامل

Second Order Families of Special Lagrangian 3-folds

A second order family of special Lagrangian submanifolds of C m is a family characterized by the satisfaction of a set of pointwise conditions on the second fundamental form. For example, the set of ruled special Lagrangian submanifolds of C 3 is characterized by a single algebraic equation on the second fundamental form. While the ‘generic’ set of such conditions turns out to be incompatible, ...

متن کامل

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

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

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

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: Journal of Differential Geometry

سال: 2003

ISSN: 0022-040X

DOI: 10.4310/jdg/1090511687