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
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On Irreducible Components of Real Exponential Hypersurfaces [PDF]
Arnold Mathematical Journal, 2017 Some minor changes.
Cordian Riener, Nicolai Vorobjov
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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 ...
Huang, Xiaojun, Zaitsev, Dmitri
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Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S6(1) [PDF]
Mathematics, 2022 It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler. If M is a hypersurface of an almost Hermitian manifold with a unit normal vector field N, the tangent vector field ξ=−JN is said to be characteristic or ...
Miroslava Antić, Djordje Kocić
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Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Recent advances in CR (Cauchy-Riemann) geometry have raised interesting fine questions about the regularity of CR mappings between real analytic hypersurfaces.
Joël Merker
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Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms
Mathematics, 2020 We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms.
Alfonso Carriazo +2 more
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A Note on the Complexity of Real Algebraic Hypersurfaces [PDF]
Graphs and Combinatorics, 2011 This paper deals with the complexity of the computation of simplicial complexes in \(\mathbb{R}^d\) which are isotopic to real algebraic hypersurfaces in \(\mathbb{R}^d\). The author shows that in the case of curves in \(\mathbb{R}^d\), any stable isocomplex (i.e.
Michael Kerber, Michael Sagraloff
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Real hypersurfaces in a complex space form with a condition on the structure Jacobi operator [PDF]
Mathematica Slovaca, 2014 Tee-How Loo
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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
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Ruled real hypersurfaces in the complex hyperbolic quadric
Demonstratio Mathematica, 2023 In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
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