Results 1 to 10 of about 41,546 (140)
On the structure vector field of a real hypersurface in complex quadric
Open Mathematics, 2018 From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
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Non-Existence of Real Hypersurfaces with Parallel Structure Jacobi Operator in S6(1)
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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Kähler metrics associated to a real hypersurface
Commentarii Mathematici Helvetici, 1977 S M Webster
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Abundance of Real Lines on Real Projective Hypersurfaces [PDF]
International Mathematics Research Notices, 2012 We show that a generic real projective n-dimensional hypersurface of degree 2n-1 contains "many" real lines, namely, not less than (2n-1)!!, which is approximately the square root of the number of complex lines. This estimate is based on the interpretation of a suitable signed count of the lines as the Euler number of an appropriate bundle.
Finashin, Sergey, Kharlamov, Viatcheslav
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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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Real Hypersurfaces in Complex Grassmannians of Rank Two
Mathematics, 2021 It is known that there does not exist any Hopf hypersurface in complex Grassmannians of rank two of complex dimension 2m with constant sectional curvature for m≥3. The purpose of this article is to extend the above result, and without the Hopf condition,
Dehe Li, Shujie Zhai
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Ruled Real Hypersurfaces in the Complex Quadric
The Journal of Geometric Analysis, 2021 MCT-FEDER project MTM-2016-78807-C2-1 ...
Kimura, Makoto +3 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.
Kerber, M., Sagraloff, M.
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Hypersurfaces in the general inner product spaces [PDF]
Journal of Hyperstructures, 2017 Let A be a symmetric positive definite (n+ 1)×(n+ 1) real matrix for n ≥ 1 and S ∈ R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p ∈ S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
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A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms
Mathematics, 2020 The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form.
George Kaimakamis +2 more
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