Existence of closed geodesics through a regular point on translation surfaces

نویسندگان
چکیده

برای دانلود رایگان 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

Closed geodesics on incomplete surfaces

We consider the problem of finding embedded closed geodesics on the two-sphere with an incomplete metric defined outside a point. Various techniques including curve shortening methods are used.

متن کامل

Periodic geodesics on translation surfaces

Let M be a compact connected oriented surface. The surface M is called a translation surface if it is equipped with a translation structure, that is, an atlas of charts such that all transition functions are translations in R2. It is assumed that the chart domains cover all surface M except for finitely many points called singular. The translation structure induces the structure of a smooth man...

متن کامل

Closed Geodesics on Certain Surfaces of Revolution

Abstract. Recently I. Mladenov and J. Oprea have investigated a number of surfaces of revolution, and in particular, developed numerical shooting methods to investigate geodesics on those surfaces, which in turn led them to raise some questions concerning closed geodesics on those surfaces. Here we develop explicit formulae, usually in terms of elliptic integrals, that permit us to answer the q...

متن کامل

Approximating Geodesics on Point Set Surfaces

We present a technique for computing piecewise linear approximations of geodesics on point set surfaces by minimizing an energy function defined for piecewise linear path. The function considers path length, closeness to the surface for the nodes of the piecewise linear path and for the intermediate line segments. Our method is robust with respect to noise and outliers. In order to avoid local ...

متن کامل

Existence of closed geodesics on positively curved Finsler manifolds

For non-reversible Finsler metrics of positive flag curvature on spheres and projective spaces we present results about the number and the length of closed geodesics and about their stability properties. 2000 MSC classification: 53C22; 53C60; 58E10

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: Mathematische Annalen

سال: 2019

ISSN: 0025-5831,1432-1807

DOI: 10.1007/s00208-019-01897-2