Lefschetz coincidence numbers of solvmanifolds with Mostow conditions

Hisashi Kasuya

Address: Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo 152-8551, Japan

E-mail: kasuya@math.titech.ac.jp

Abstract: For any two continuous maps $f$, $g$ between two solvmanifolds of the same dimension satisfying the Mostow condition, we give a technique of computation of the Lefschetz coincidence number of $f$, $g$. This result is an extension of the result of Ha, Lee and Penninckx for completely solvable case.

AMSclassification: primary 22E25; secondary 53C30, 54H25, 55M20.

Keywords: de Rham cohomology, Lefschetz coincidence number, solvmanifold.

DOI: 10.5817/AM2014-1-27