Results 31 to 40 of about 4,560,118 (257)
The Nonimbeddability of Real Hypersurfaces in Spheres [PDF]
Proceedings of the American Mathematical Society, 1988 It is shown that there exist real analytic real hypersurfaces in C n {{\mathbf {C}}^n} which cannot be locally holomorphically imbedded in any finite dimensional sphere S 2 N
openaire +2 more sources
Open Mathematics, 2015 In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina +1 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2016 Real hypersurfaces satisfying the condition ϕl=lϕ(l=R(·,ξ)ξ) have been studied by many authors under at least one more condition, since the class of these hypersurfaces is quite tough to be classified.
Theocharis Theofanidis
doaj +1 more source
On non-integrable complex distributions: an approach by transversality with real domains [PDF]
, 2006 We study the classification of singularities of holomorphic foliations and non-integrable one-forms under the hypothesis of transversality with real ...
Bruno +13 more
core +3 more sources
Algebraicity of Global Real Analytic Hypersurfaces [PDF]
Geometriae Dedicata, 2006 Let X be an algebraic manifold without compact component and let V be a compact coherent analytic hypersurface in X, with finite singular set. We prove that V is diffeotopic (in X) to an algebraic hypersurface in X if and only if the homology class represented by V is algebraic and singularities are locally analytically equivalent to Nash singularities.
Kurdyka, Krzysztof, Kucharz, Wojciech
openaire +2 more sources
Bounding the Betti numbers of real hypersurfaces near the tropical limit [PDF]
Annales Scientifiques de l'Ecole Normale Supérieure, 2018 We prove an upper bound on the Betti numbers of real algebraic hypersurfaces obtained by primitive combinatorial patchworking. These bounds are given in terms of the dimensions of tropical homology groups with $\mathbb{Z}_2$-coefficients of a tropical ...
Arthur Renaudineau, Kristin M. Shaw
semanticscholar +1 more source
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
doaj +1 more source
Weak Nearly Sasakian and Weak Nearly Cosymplectic Manifolds
Mathematics, 2023 Weak contact metric structures on a smooth manifold, introduced by V. Rovenski and R. Wolak in 2022, have provided new insight into the theory of classical structures.
Vladimir Rovenski
doaj +1 more source
A Certain Tensor on Real Hypersurfaces in a Nonflat Complex Space Form
, 2020 In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure ( φ, ξ, η, g ) induced from the ambient space.
Kazuhiro Okumura
semanticscholar +1 more source
Tangent cones and regularity of real hypersurfaces [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract We characterize 𝒞 1 $\mathcal {C}^1$ embedded ...
Ralph Howard, Mohammad Ghomi
openaire +3 more sources