\documentclass[11pt]{amsart}

\usepackage{mymathmacros}
\usepackage{formatmacros}
\usepackage{analysismacros}
\usepackage{alphamacros}
\usepackage{linalgmacros}
\usepackage{refmacros}

\usepackage{pst-plot, pst-math, pst-func}
\usepackage{pstricks-add}


%\usepackage{geometry}                % See geometry.pdf to learn the layout options. There are lots.
%\geometry{letterpaper}                   % ... or a4paper or a5paper or ... 
%%\geometry{landscape}                % Activate for for rotated page geometry
%%\usepackage[parfill]{parskip}    % Activate to begin paragraphs with an empty line rather than an indent
%\usepackage{graphicx}
%\usepackage{amssymb}
%\usepackage{epstopdf}
%\DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `dirname #1`/`basename #1 .tif`.png}
\begin{document}


\title{A Partial Resolution to Mendes' Conjecture}
\author{Jorge Groisman}
	\address{Instituto de Matem\'atica y Estad\'{\i}stica ÒProf. Ing. Rafael LaguardiaÓ, 
	Facultad de Ingenier\'{\i}a Julio Herrera y Reissig 565 11300, MONTEVIDEO, Uruguay}
	\email{jorge.groisman@gmail.com}
\author{Zbigniew Nitecki}
	\address{Department of Mathematics, Tufts University, Medford, MA 02155}
	\email{zbigniew.nitecki@tufts.edu}
	
\date{}                                           % Activate to display a given date or no date

\thanks{The second author thanks IMERL for its hospitality and support during a visit in August 2018}

\keywords{Anosov diffeomorphism, non-compact dynamics, plane foliations}
\subjclass{37D, 37E}

\abstract{A diffeomorphism \selfmap{f}{\Realstwo} in the plane is \textit{Anosov} if it has a hyperbolic splitting 
at every point of the plane. 
The two known topological conjugacy classes of such diffeomorphisms are linear hyperbolic automorphisms
and translations (the existence of Anosov structures for plane translations was originally shown by W. White).
P. Mendes conjectured that these are the only topological conjugacy classes for Anosov diffeomorphisms in the plane.
We prove that this claim holds when the Anosov diffeomorphism is the time-one map of a flow, via a theorem about 
foliations invariant under a time one map.
}

\maketitle
%\section{}
%\subsection{}



\end{document}