Results 201 to 210 of about 1,716 (234)

Mappings of real algebraic hypersurfaces

Journal of the American Mathematical Society, 1995
A 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., Rothschild, Linda Preiss   +1 more
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Distance-Genericity for Real Algebraic Hypersurfaces

Canadian Journal of Mathematics, 1984
One 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, 1982
In 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, 2006
The 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, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Real Hypersurfaces in Complex Two-Plane Grassmannians

Monatshefte f�r Mathematik, 1999
The 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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ON HOLOMORPHIC MAPPINGS OF REAL ANALYTIC HYPERSURFACES

Mathematics of the USSR-Sbornik, 1978
Some 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 Kähler Manifolds

2014
We 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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Real Hypersurfaces, Orders of Contact, and Applications

The Annals of Mathematics, 1982
A 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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Real Hypersurfaces in Complex Centro-Affine Spaces

Results in Mathematics, 1988
The centro-affine geometry studies the subgroup of the projective group which leaves invariant (or interchanges) a point 0 (the center) and a plane not contaning 0. The research in this field was initiated by \textit{G. Tzitzeica} [Sur une nouvelle classe de surfaces, C. R. Acad. Sci., Paris 145, 132-133 (1907)].
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