Results 81 to 90 of about 1,727 (223)

Dynamics of entanglement in expanding quantum fields

Journal of High Energy Physics, 2018
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, Stefan Floerchinger, Raju Venugopalan   +2 more
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Isoparametric and Dupin Hypersurfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2008
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj   +1 more source

On holomorphic one-forms transverse to closed hypersurfaces

Anais da Academia Brasileira de Ciências, 2003
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
doaj   +1 more source

Real hypersurfaces of a complex projective space

Tsukuba Journal of Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Real hypersurfaces of a complex projective space [PDF]

Bulletin of the Australian Mathematical Society, 1986
We study real hypersurfaces M of a complex projective space and show that a condition on the derivative of the Ricci Tensor of M implies M is locally homogeneous with two or three principal curvatures.
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Nonexistence of Homogeneous Levi-Flat Hypersurfaces in ${\mathbb{C}\mathbb{P}}^2$

Mathematics
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
doaj   +1 more source

REAL HYPERSURFACES IN COMPLEX MANIFOLDS [PDF]

Acta Mathematica, 1974
J. K. Moser, J. K. Moser, Shiing-Shen Chern, Shiing-Shen Chern   +3 more
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Real hypersurfaces of a complex hyperbolic space

Journal of the Mathematical Society of Japan, 1985
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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On real forms of Fermat hypersurfaces

, 2023
In this paper, we compute the number of real forms of Fermat hypersurfaces for degree $d \ge 2$ except the degree 4 surface case, and give explicit descriptions of them.
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Topology of Random Real Hypersurfaces [PDF]

Revista Colombiana de Matemáticas, 2015
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 ...
openaire   +7 more sources