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The quotient construction for a class of compact Einstein manifolds

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Publication:2367963
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DOI10.1007/BF02096999zbMath0778.53039WikidataQ126094686 ScholiaQ126094686MaRDI QIDQ2367963

Brett McInnes

Publication date: 20 December 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Ricci curvatureCalabi-Yau manifoldKilling spinorsholonomy groupKähler-Einstein manifold


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)


Related Items (2)

On non-simply connected manifolds with non-trivial parallel spinors ⋮ Metric symmetries and spin asymmetries of Ricci-flat Riemannian manifolds



Cites Work

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  • Variétés kähleriennes dont la première classe de Chern est nulle
  • Gauge theory in Witten's approach to the generation problem
  • Hyperkähler metrics and supersymmetry
  • On the structure of complete manifolds of nonnegative curvature
  • Methods of holonomy theory for Ricci-flat Riemannian manifolds
  • Compact four-dimensional Einstein manifolds


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