Length of Closed Geodesics in Conformally Flat Tori

Yuhang Liu

Length of Closed Geodesics in Conformally Flat Tori

Yuhang Liu

Peking University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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Abstract

We show that on a conformally flat n-torus T ⁿ, there exist n closed geodesics such that they are linearly independent in the fundamental group Z ⁿ of T ⁿ and the product of their lengths is less than or equal to a dimensional constant times the volume of T ⁿ.

Original language	English
Pages (from-to)	158-164
Number of pages	7
Journal	Balkan Journal of Geometry and Its Applications
Volume	27
Issue number	2
Publication status	Published - 17 Jun 2022
Externally published	Yes

Keywords

Closed geodesics
Systole
Torus

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BJGA conf flat toriFinal published version, 249 KBLicence: Unspecified

Cite this

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title = "Length of Closed Geodesics in Conformally Flat Tori",

abstract = "We show that on a conformally flat n-torus T n, there exist n closed geodesics such that they are linearly independent in the fundamental group Z n of T n and the product of their lengths is less than or equal to a dimensional constant times the volume of T n.",

keywords = "Closed geodesics, Systole, Torus",

author = "Yuhang Liu",

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year = "2022",

month = jun,

day = "17",

language = "English",

volume = "27",

pages = "158--164",

journal = "Balkan Journal of Geometry and Its Applications",

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T1 - Length of Closed Geodesics in Conformally Flat Tori

AU - Liu, Yuhang

N1 - Publisher Copyright: © Balkan Society of Geometers, Geometry Balkan Press 2022

PY - 2022/6/17

Y1 - 2022/6/17

N2 - We show that on a conformally flat n-torus T n, there exist n closed geodesics such that they are linearly independent in the fundamental group Z n of T n and the product of their lengths is less than or equal to a dimensional constant times the volume of T n.

AB - We show that on a conformally flat n-torus T n, there exist n closed geodesics such that they are linearly independent in the fundamental group Z n of T n and the product of their lengths is less than or equal to a dimensional constant times the volume of T n.

KW - Closed geodesics

KW - Systole

KW - Torus

UR - https://www.scopus.com/pages/publications/85133359271

M3 - Article

VL - 27

SP - 158

EP - 164

JO - Balkan Journal of Geometry and Its Applications

JF - Balkan Journal of Geometry and Its Applications

IS - 2

ER -

Length of Closed Geodesics in Conformally Flat Tori

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Keywords

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