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Real hypersurfaces in quaternionic projective space [PDF]
Annali di Matematica Pura ed Applicata, 1986 The paper is a systematic study of real hypersurfaces of quaternionic projective spaces via the focal set theory. By using the induced structures on a real hypersurface the authors obtain three classes of real hypersurfaces. Then by means of one of these classes they find an example of a proper quaternion CR-submanifold in the sense of \textit{M ...
Antonio Martínez, Juan de Dios Pérez
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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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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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Infinitesimal CR automorphisms of real hypersurfaces
American Journal of Mathematics, 1996Let M be an analytic real hypersurface through the origin in C n+1 and let hol ( M ) denote the space of vector fields X =Re Z | M tangent to M in a neighborhood of the origin, where Z is a holomorphic vector field defined in a neighborhood of the origin.
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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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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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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Donna R Rivera +2 more
exaly