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Unique decomposition of Riemannian manifolds

  • Published:1998 Issue:10 Volume:126 Page:3075-3078
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Eschenburg J.-H.,Heintze E.

Abstract

We prove an extension of de Rham’s decomposition theorem to the non-simply connected case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Sur les inverses des éléments dérivables dans un anneau abstrait;Hebroni, P.;C. R. Acad. Sci. Paris,1939

2. Almost flat manifolds;Gromov, M.;J. Differential Geometry,1978

3. The de Rham product decomposition;Maltz, R.;J. Differential Geometry,1972

4. A simple proof of the de Rham decomposition theorem;Pantilie, Radu;Bull. Math. Soc. Sci. Math. Roumanie (N.S.),1992

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1. De Rham Decomposition for Riemannian Manifolds with Boundary;Acta Mathematica Scientia;2022-10-18

2. Proof of Laugwitz Conjecture and Landsberg Unicorn Conjecture for Minkowski norms with -symmetry;Canadian Journal of Mathematics;2021-06-03

3. The Uniqueness in the de Rham–Wu Decomposition;The Journal of Geometric Analysis;2014-09-04

4. Semi-Riemannian manifolds with a doubly warped structure;Revista Matemática Iberoamericana;2012

5. Uniqueness of static decompositions;Annals of Global Analysis and Geometry;2010-08-09
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