Diffeomorphism type via aperiodicity in Reeb dynamics

Myeonggi Kwon; Kevin Wiegand; Kai Zehmisch

doi:10.1007/s11784-022-00954-9

Diffeomorphism type via aperiodicity in Reeb dynamics

Myeonggi Kwon
, Kevin Wiegand
, Kai Zehmisch^*

^*Corresponding author for this work

Department of Mathematics Education

Sunchon National University
Heidelberg University
Ruhr University Bochum

Research output: Contribution to journal › Journal article › peer-review

Abstract

We characterise boundary-shaped disc-like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short periodic Reeb orbits.

Original language	English
Article number	21
Journal	Journal of Fixed Point Theory and Applications
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/s11784-022-00954-9
State	Published - 2022.06

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title = "Diffeomorphism type via aperiodicity in Reeb dynamics",

abstract = "We characterise boundary-shaped disc-like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short periodic Reeb orbits.",

author = "Myeonggi Kwon and Kevin Wiegand and Kai Zehmisch",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

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doi = "10.1007/s11784-022-00954-9",

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AU - Kwon, Myeonggi

AU - Wiegand, Kevin

AU - Zehmisch, Kai

PY - 2022/6

Y1 - 2022/6

N2 - We characterise boundary-shaped disc-like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short periodic Reeb orbits.

AB - We characterise boundary-shaped disc-like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short periodic Reeb orbits.

UR - https://www.scopus.com/pages/publications/85127477862

U2 - 10.1007/s11784-022-00954-9

DO - 10.1007/s11784-022-00954-9

M3 - Journal article

AN - SCOPUS:85127477862

SN - 1661-7738

VL - 24

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

M1 - 21

ER -

Diffeomorphism type via aperiodicity in Reeb dynamics

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