Results 21 to 30 of about 41,546 (140)
Homogeneous real hypersurfaces [PDF]
Mathematical Research Letters, 1995 Let \(M\) be an analytic real hypersurface through the origin in \(\mathbb{C}^n\). The hypersurface \(M\) is called weighted homogeneous if it is locally equivalent, via a biholomorphic map which preserves the origin, to a hypersurface given by an equation of the form \(P(z, \overline z) = 0\), where \(P\) is a polynomial which is homogeneous with ...
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The Viro Method for Construction of Piecewise Algebraic Hypersurfaces
Abstract and Applied Analysis, 2013 We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
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On Irreducible Components of Real Exponential Hypersurfaces [PDF]
Arnold Mathematical Journal, 2017 Some minor changes.
Vorobjov, Nicolai, Riener, Cordian
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On Normal Forms for Levi-flat hypersurfaces with an Isolated Line Singularity [PDF]
, 2014 We prove the existence of normal forms for some local real-analytic Levi-flat hypersurfaces with an isolated line singularity. We also give sufficient conditions for that a Levi-flat hypersurface with a complex line as singularity to be a pullback of a ...
Fernández-Pérez, Arturo
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On certain real hypersurfaces of quaternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1991 We classify certain real hypersurfaces ot a quaternionic projective space satisfying the condition σ(R(X,Y)SZ)=0.
Juan De Dios Perez, Florentino G. Santos
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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.
Huang, Xiaojun, Zaitsev, Dmitri
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Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification [PDF]
, 2019 In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the ...
Finashin, Sergey, Kharlamov, Viatcheslav
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The computation of the index of a Morse function at a critical point
International Journal of Mathematics and Mathematical Sciences, 1988 A theoretical approach in computing the index of a Morse function at a critical point on a real non-singular hypersurface V is given. As a consequence the Euler characteristic of V is computed. In the case where the hypersurface is polynomial and compact,
Takis Sakkalis
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Topology of random real hypersurfaces
Revista Colombiana de Matemáticas, 2014 18 pages, notes of the course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July ...
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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