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Kähler metrics associated to a real hypersurface
Commentarii Mathematici Helvetici, 1977 openaire +2 more sources
Pseudo-Hermitian structures on a real hypersurface
Journal of Differential Geometry, 1978 openaire +3 more sources
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Mappings of real algebraic hypersurfaces
Journal of the American Mathematical Society, 1995A smooth real hypersurface in \(\mathbb{C}^N\) is called algebraic if it is contained in the zero set of a nonzero real-valued polynomial in \(Z\) and \(\overline Z\). A hypersurface \(M\) in \(\mathbb{C}^N\) is holomorphically degenerate at a point \(p_0 \in M\) if there exists a nonzero germ of a holomorphic vector field tangent to \(M\) in a ...
Baouendi, M. S. +1 more
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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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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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Real Lightlike Hypersurfaces of Paraquaternionic Kähler Manifolds
Mediterranean Journal of Mathematics, 2006The main purpose of this paper is to give basic properties of real lightlike hypersurfaces of paraquaternionic manifold and to prove the nonexistence of real lightlike hypersurfaces in paraquaternionic space forms under some conditions.
MAZZOCCO, Renzo, IANUS S, VILCU G. E.
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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 Complex Two-Plane Grassmannians
Monatshefte f�r Mathematik, 1999The complex two-plane Grassmannian \(N:=G_2 (\mathbb{C}^{m+2})\) is a Riemannian symmetric space distinguished by the fact that it is equippped with a Kähler structure \(J\) and a quaternionic Kähler structure \({\mathfrak I}\) (which is a special parallel subbundle of \(\text{End} (TN)\) of rank 3). For any real hypersurface \(M\) of \(N\) then \(E_1:=
Berndt, Jürgen, Suh, Young Jin
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