Results 1 to 10 of about 241,900 (235)
Non-embeddable Real Algebraic Hypersurfaces [PDF]
Mathematische Zeitschrift (2013) 275:657-671, 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
arxiv +10 more sources
On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]
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
doaj +2 more sources
Topology of random real hypersurfaces [PDF]
Revista Colombiana de Matemáticas, 2014 These are notes of the mini-course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July $2014$. The subject was my joint work with Damien Gayet on the topology of random real hypersurfaces, restricting myself to the case of ...
Welschinger, Jean-Yves
core +11 more sources
Mappings of Real Algebraic Hypersurfaces [PDF]
Journal of the American Mathematical Society, 1995 A holomorphic function h(Z) defined in a neighborhood of a point Z0 E CN is algebraic if there are polynomials qj(Z), j = 0, ..., k, not all identically zero, such that qk(Z)h(Z)k + ... + qo(Z) _ 0. A holomorphic mapping is algebraic if all its components are algebraic.
M. S. Baouendi, Linda Preiss Rothschild
openalex +3 more sources
On real forms of Fermat hypersurfaces [PDF]
arXiv, 2023 In this paper, we compute the number of real forms of Fermat hypersurfaces for degree $d \ge 3$ except the degree 4 surface case, and give explicit descriptions of them.
arxiv +3 more sources
Formal biholomorphic maps of real analytic hypersurfaces [PDF]
Mathematical Research Letters, 2000 Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f ...
Mir, Nordine
core +7 more sources
On the existence of holomorphic embeddings of strictly pseudoconvex algebraic hypersurfaces into spheres [PDF]
arXiv, 2012 We show that there are strictly pseudoconvex, real algebraic hypersurfaces in $\bC^{n+1}$ that cannot be locally embedded into a sphere in $\bC^{N+1}$ for any $N$. In fact, we show that there are strictly pseudoconvex, real algebraic hypersurfaces in $\bC^{n+1}$ that cannot be locally embedded into any compact, strictly pseudoconvex, real algebraic ...
Ebenfelt, Peter, Son, Duong
arxiv +3 more sources
Real hypersurfaces of indefinite Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1993 We show the existence of ( ϵ )-almost contact metric structures and give examples of ( ϵ )-Sasakian manifolds. Then we get a classification theorem for real hypersurfaces of indefinite complex space-forms with parallel structure vector field.
A. Bejancu, K. L. Duggal
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Finite type conditions for real hypersurfaces [PDF]
Journal of Differential Geometry, 1979 John P. D’Angelo
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The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric
Mathematics, 2022 We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
doaj +1 more source