Results 91 to 100 of about 32,499 (242)

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
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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 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 IN COMPLEX MANIFOLDS [PDF]

Acta Mathematica, 1974
Chern, S. S., Moser, J. K.
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Real Hypersurfaces with Many Simple Singularities

Revista Matemática Complutense, 2005
This paper extends the results of \textit{E. Shustin} and \textit{E. Westenberger} [J. Lond. Math. Soc., II. Ser. 70, No. 3, 609--624 (2004; Zbl 1075.14034)] on the existence of algebraic hypersurfaces with prescribed simple singularities to the real case.
openaire   +3 more sources

What Is a Simple Liquid?

Physical Review X, 2012
This paper is an attempt to identify the real essence of simplicity of liquids in John Locke’s understanding of the term. Simple liquids are traditionally defined as many-body systems of classical particles interacting via radially symmetric pair ...
Trond S. Ingebrigtsen, Thomas B. Schrøder, Jeppe C. Dyre   +2 more
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Real hypersurfaces in unimodular complex surfaces

, 2004
A unimodular complex surface is a complex 2-manifold X endowed with a holomorphic volume form. A strictly pseudoconvex real hypersurface M in X inherits not only a CR-structure but a canonical coframing as well.
Bryant, Robert L.
core   +2 more sources

Convergence of Formal Embeddings Between Real-Analytic Hypersurfaces in Codimension One [PDF]

, 2002
Nordine Mir
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The upper bound for the first positive eigenvalue of Sub-Laplacian on a compact strictly pseudoconvex hypersurface

AIMS Mathematics
Let $ (M^{2n+1}, \theta) $ be a compact strictly pseudoconvex real hypersurfaces equipped with the pseudohermitian structure $ \theta $, and $ \lambda_{1} $ be the first positive eigenvalue of sub-Laplacian $ \Delta_{b} $ on $ (M^{2n+1}, \theta) $.
Guijuan Lin, Sujuan Long , Qiqi Zhang
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On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source