A symplectic viewpoint on Anosov flows

Abstract This survey explores the geometry of three-dimensional Anosov flows from the perspective of contact and symplectic geometry, following the work of Mitsumatsu, Eliashberg–Thurston, Hozoori, and the author. We also present a few original results and discuss various open questions and conjectures.

Authors

Thomas Massoni

Institutions

IIT@MIT (US)

Publication Details

Journal: Journal of Fixed Point Theory and Applications
Published: 2025-04-09
DOI: https://doi.org/10.1007/s11784-025-01192-5
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 0.00

Funders

Massachusetts Institute of Technology

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

A symplectic viewpoint on Anosov flows

Thomas Massoni

Apr 9, 2025

Journal of Fixed Point Theory and Applications

Mathematical Dynamics and Fractals

article

A symplectic viewpoint on Anosov flows

Thomas Massoni

April 9, 2025article en

Abstract

Journal of Fixed Point Theory and ApplicationsVol. 27(2)

IIT@MIT (US)

Massachusetts Institute of Technology

Openalex Percentile: Top 88%

Mathematical Dynamics and Fractals

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A symplectic viewpoint on Anosov flows — Thomas Massoni · Journal of Fixed Point Theory and Applications (2025) | TGRS Research Map | TGRS