Differential geometry of canonical quantization
Norman E. Hurt (1971)
Annales de l'I.H.P. Physique théorique
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Norman E. Hurt (1971)
Annales de l'I.H.P. Physique théorique
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Vaisman, Izu (1985)
International Journal of Mathematics and Mathematical Sciences
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Nigel Hitchin (1991-1992)
Séminaire Bourbaki
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Luigi Vezzoni (2016)
Complex Manifolds
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We review some previous results about the Calabi-Yau equation on the Kodaira-Thurston manifold equipped with an invariant almost-Kähler structure and assuming the volume form T2-invariant. In particular, we observe that under some restrictions the problem is reduced to aMonge-Ampère equation by using the ansatz ˜~ω = Ω− dJdu + da, where u is a T2-invariant function and a is a 1-form depending on u. Furthermore, we extend our analysis to non-invariant almost-complex structures by considering...
Bernd Aulbach, Dietrich Flockerzi, Hans-Wilhelm Knobloch (1986)
Časopis pro pěstování matematiky
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Deszsz, Ryszard (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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Leistner, Thomas
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The author studies the holonomy group of a simply connected indecomposable and reducible Lorentzian spin manifold under the condition that they admit parallel spinors. He shows that there are only two possible situations: either the manifold is a so-called Brinkmann wave or it has Abelian holonomy and is a pp-manifold – a generalization of a plane-wave. The author gives also sufficient conditions for a Brinkmann wave to have as holonomy the semidirect product of holonomy group of a Riemannian...