Generalized Hantzsche-Wendt flat manifolds
نویسندگان
چکیده
منابع مشابه
Generalized Hantzsche - Wendt Flat Manifolds
We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to Z n−1 2 , which we call generalized Hantzsche-Wendt manifolds. We prove results on their structure, compute some invariants, and find relations between them, illustrated in a graph connecting the family.
متن کاملHantzsche-Wendt flat manifolds
The purpose of this paper is consider some results concerning the special class of the flat manifolds (closed, Riemannian with zero sectional curvature) of dimension n with holonomy groups (Z 2) . In dimension two it is the Klein bottle and in dimension three it is a flat manifold first consider by Hantzsche and Wendt in [4]. Hence we shall call this class of the HantzscheWendt flat manifolds (...
متن کامل2 00 3 Generalized Hantzsche - Wendt Flat Manifolds
We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to Z n−1 2 , which we call generalized Hantzsche-Wendt manifolds. We prove results on their structure, compute some invariants, and find relations between them, illustrated in a graph connecting the family.
متن کامل3 Flat manifolds , harmonic spinors , and eta invariants
The aim of this paper is to calculate the eta invariants and the dimensions of the spaces of harmonic spinors for two infinite families of closed flat manifolds. The first one F CHD consists of some flat manifolds M with cyclic holonomy groups. The second one F HW is the family of generalized oriented Hantzsche-Wendt manifolds. If M ∈ F HW , and M admits a spin structure, then η(M) = 0 and h(M)...
متن کاملO ct 2 00 3 Flat manifolds , harmonic spinors , and eta invariants
The aim of this paper is to calculate the eta invariants and the dimensions of the spaces of harmonic spinors for two infinite families of closed flat manifolds. The first one F CHD consists of some flat manifolds M with cyclic holonomy groups. The second one F HW is the family of generalized oriented Hantzsche-Wendt manifolds. If M ∈ F HW , and M admits a spin structure, then η(M) = 0 and h(M)...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2005
ISSN: 0213-2230
DOI: 10.4171/rmi/445