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Dynamics of entanglement in expanding quantum fields
We develop a functional real-time approach to computing the entanglement between spatial regions for Gaussian states in quantum field theory. The entanglement entropy is characterized in terms of local correlation functions on space-like Cauchy ...
Jürgen Berges+2 more
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On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
A hypersurface Mn in a real space form Rn+1, Sn+1, or Hn+1 is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and Münzner on the theory of isoparametric hypersurfaces in real space forms, in
Thomas E. Cecil, Patrick J. Ryan
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On holomorphic one-forms transverse to closed hypersurfaces
In this note we announce some achievements in the study of holomorphic distributions admitting transverse closed real hypersurfaces. We consider a domain with smooth boundary in the complex affine space of dimension two or greater. Assume that the domain
Toshikazu Ito, Bruno Scárdua
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Topology of Random Real Hypersurfaces [PDF]
Las siguientes son las notas de un mini curso que dí durante la escuela de verano CIMPA en Villa de Leyva, Colombia, en julio de 2014. El tema fue el trabajo que en conjunto se desarrolló con Damien Gayet sobre la topología de las hipersuperficies reales aleatorias, restringiéndonos al caso de los espacios proyectivos y enfocándonos en nuestras ...
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Nonexistence of Homogeneous Levi-Flat Hypersurfaces in
We investigate the longstanding question of whether compact Levi-flat hypersurfaces exist in the complex projective plane CP2. While the nonexistence of closed real-analytic Levi-flat hypersurfaces in CPn for n>2 is well known, the case n=2 remains open.
Abdel Rahman Al-Abdallah
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REAL HYPERSURFACES IN COMPLEX MANIFOLDS [PDF]
J. K. Moser+3 more
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Real hypersurfaces of a complex projective space
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Real hypersurfaces of a complex hyperbolic space
In this paper, using focal point theory, the author classifies real hypersurfaces of a complex hyperbolic space with a few principal curvatures, giving some examples of such type of hypersurfaces. Also, he proves that there exists no Einstein real hypersurfaces in the complex hyperbolic space and he classifies those that satisfy a weaker condition on ...
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Real hypersurfaces in a complex projective space with constant principal curvatures [PDF]
Ryoichi Takagi
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