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Lefschetz coincidence numbers of solvmanifolds with Mostow conditions

Hisashi Kasuya (2014)

Archivum Mathematicum

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.

Local reflexion spaces

Jan Gregorovič (2012)

Archivum Mathematicum

A reflexion space is generalization of a symmetric space introduced by O. Loos in [4]. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexion spaces are equivalently given by a locally flat Cartan connection of certain type.

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