Finite time singularities for Lagrangian mean curvature flow

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

Singularities of Lagrangian Mean Curvature Flow: Zero-maslov Class Case

We study singularities of Lagrangian mean curvature flow in C when the initial condition is a zero-Maslov class Lagrangian. We start by showing that, in this setting, singularities are unavoidable. More precisely, we construct Lagrangians with arbitrarily small Lagrangian angle and Lagrangians which are Hamiltonian isotopic to a plane that, nevertheless, develop finite time singularities under ...

متن کامل

Singularities of Lagrangian Mean Curvature Flow: Monotone Case

We study the formation of singularities for the mean curvature flow of monotone Lagrangians in C. More precisely, we show that if singularities happen before a critical time then the tangent flow can be decomposed into a finite union of area-minimizing Lagrangian cones (Slag cones). When n = 2, we can improve this result by showing that connected components of the rescaled flow converge to an a...

متن کامل

Marangoni-driven singularities via mean-curvature flow

In this work, it is demonstrated that the existence and topology of the recently observed interfacial singularities driven by Marangoni effects can be deduced using mean-curvature flow theory extended to account for variations of interfacial tension. This suggests that some of the physical mechanisms underlying the formation of these interfacial singularities may originate from/be modeled by th...

متن کامل

Translating Solutions to Lagrangian Mean Curvature Flow

We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an L bound on the mean curvature are planes and that almost-calibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.

متن کامل

Mean Curvature Flow and Lagrangian Embeddings

In this note we provide examples of compact embedded lagrangians in Cn for any n ≥ 2 that under mean curvature flow develop singularities in finite time. When n is odd the lagrangians can be taken to be orientable. By gluing these lagrangians onto a special lagrangian embedding L we provide examples of compact embedded lagrangians in a Calabi-Yau manifold that under mean curvature flow develop ...

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: Annals of Mathematics

سال: 2013

ISSN: 0003-486X

DOI: 10.4007/annals.2013.177.3.5