ON SASAKIAN–EINSTEIN GEOMETRY

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Publication:4521173

DOI10.1142/S0129167X00000477zbMATH Open1022.53038arXivmath/9811098MaRDI QIDQ4521173

Author name not available (Why is that?)

Publication date: 26 October 2003

Published in: (Search for Journal in Brave)

Abstract: We discuss Sasakian-Einstein geometry under a quasi-regularity assumption. It is shown that the space of all quasi-regular Sasakian-Einstein orbifolds has a natural multiplication on it. Furthermore, necessary and sufficient conditions are given for the `product' of two Sasakian-Einstein manifolds to be a smooth Sasakian-Einstein manifold. Using spectral sequence arguments we work out the cohomology ring in many cases of interest. This type of geometry has recently become of interest in the physics of supersymmetric conformal field theories.


Full work available at URL: https://arxiv.org/abs/math/9811098



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