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ON LOCAL AUTOMORPHISMS OF REAL ANALYTIC HYPERSURFACES
Mathematics of the USSR-Izvestiya, 1982In this paper the author studies biholomorphic transformations of carrying a nondegenerate real analytic surface into itself and leaving a particular point fixed. The first estimates of the dimensions of such groups of transformations were obtained by V. K. Belosapka (see MR 80h: 32039).
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Distance-Genericity for Real Algebraic Hypersurfaces
Canadian Journal of Mathematics, 1984One of the original applications of catastrophe theory envisaged by Thom was that of discussing the local structure of the focal set for a (generic) smooth submanifold M ⊆ Rn + 1. Thom conjectured that for a generic M there would be only finitely many local topological models, a result proved by Looijenga in [4].
Bruce, J.W., Gibson, C.G.
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Real Hypersurfaces, Orders of Contact, and Applications
The Annals of Mathematics, 1982A fundamental problem in the modem theory of several complex variables concerns the boundary behavior of the Cauchy-Riemann equations. Suppose that D is an open domain in Cn, and that its boundary, M, is a smooth real submanifold of Cn. How does the geometry of M influence the function theory on D? One approach to this question is the a-Neumann problem,
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ON THE LINEARIZATION OF AUTOMORPHISMS OF A REAL ANALYTIC HYPERSURFACE
Mathematics of the USSR-Izvestiya, 1986Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No.4, 731-765 (Russian) (1985; Zbl 0586.32008).
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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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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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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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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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On real hypersurfaces in a complex space form
2016Let \(M(c)\) 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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