Results 1 to 10 of about 619 (177)
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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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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Advances in Mathematical Physics, 2023 In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians G2ℂm+2, involving the shape operator A and the Reeb vector field ξ.
Dehe Li, Bo Li, Lifen Zhang
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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 Quadric
The Journal of Geometric Analysis, 2021 MCT-FEDER project MTM-2016-78807-C2-1 ...
Kimura, Makoto +3 more
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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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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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On real hypersurfaces of a complex projective space [PDF]
Mathematische Zeitschrift, 1989 In this article the authors continue their work on real hypersurfaces in complex projective spaces [part I, see Math. Z. 202, 299-311 (1989; Zbl 0661.53015), part II, see Tsukuba J. Math. 15, 547-561 (1991; Zbl 0762.53039)]. The main purpose of this paper is to provide sufficient and necessary conditions for a real hypersurface \(M\) of a complex ...
Kimura, Makoto, Maeda, Sadahiro
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On the Transformation Group of a Real Hypersurface [PDF]
Transactions of the American Mathematical Society, 1977 The group of biholomorphic transformations leaving fixed a strongly pseudoconvex real hypersurface in a complex manifold is a Lie group. In this paper it is shown that the Chern-Moser invariants must vanish if this group is noncompact and the hypersurface is compact.
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