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On real hypersurfaces in a complex space form
Mathematical Journal of Okayama University, 1998Let \(M(c)\) be a Kähler manifold of non-vanishing constant holomorphic sectional curvature \(c\) and with real dimension \(2n\geq 6\). Furthermore, let \(P\) be a real hypersurface, \(N\) a local unit normal vector field and \(R\) the Riemann curvature tensor of \(P\).
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ON HOLOMORPHIC MAPPINGS OF REAL ANALYTIC HYPERSURFACES
Mathematics of the USSR-Sbornik, 1978Some questions of the analytic continuation of holomorphic mappings, arising in connection with the problem of the biholomorphic classification of strongly pseudoconvex domains in Cn, are studied. Bibliography: 14 titles.
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Real Hypersurfaces in Nearly Kaehler 6-Sphere
Mediterranean Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized -Einstein Real Hypersurfaces in and
Canadian Mathematical Bulletin, 2020AbstractIn this paper we obtain some new characterizations of pseudo-Einstein real hypersurfaces in $\mathbb{C}P^{2}$ and $\mathbb{C}H^{2}$. More precisely, we prove that a real hypersurface in $\mathbb{C}P^{2}$ or $\mathbb{C}H^{2}$ with constant mean curvature is generalized ${\mathcal{D}}$-Einstein with constant coefficient if and only if it is ...
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Lie derivatives on a real hypersurface in complex two-plane Grassmannians
, 2016J. Pérez
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Real Hypersurfaces in Kähler Manifolds
2014We consider real hypersurfaces of compact Kahler manifolds and show that real hypersurfaces of Kahler manifolds induced by Morse functions have contact structures. As examples we consider preimages of regular values of Morse functions on complex projective spaces, and cosymplectic real hypersurfaces of the products of Kahler manifolds and torus.
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