Results 141 to 150 of about 784 (176)

A New Origin for Entropy: Jauch's Conservation Law and the Geometry of Thermodynamics. [PDF]

Found Phys
Roberts BW.
europepmc   +1 more source

Non-embeddable real algebraic hypersurfaces [PDF]

Mathematische Zeitschrift, 2013
We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.
Dmitri Zaitsev
exaly   +5 more sources

A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]

Czechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayuko Kon
exaly   +3 more sources

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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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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 real hypersurfaces of 𝕊²×𝕊²

Proceedings of the American Mathematical Society, 2022
In this paper, regarding the Riemannian product S 2
Dong Gao, Zejun Hu, Hui Ma, Zeke Yao
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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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On real hypersurfaces in a complex space form

Mathematical Journal of Okayama University, 1998
Let \(M(c)\) 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, 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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ON THE LINEARIZATION OF AUTOMORPHISMS OF A REAL ANALYTIC HYPERSURFACE

Mathematics of the USSR-Izvestiya, 1986
Translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No.4, 731-765 (Russian) (1985; Zbl 0586.32008).
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