Results 1 to 10 of about 1,722 (224)
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
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Mappings of Real Algebraic Hypersurfaces [PDF]
Journal of the American Mathematical Society, 1995 A smooth real hypersurface in \(\mathbb{C}^N\) is called algebraic if it is contained in the zero set of a nonzero real-valued polynomial in \(Z\) and \(\overline Z\). A hypersurface \(M\) in \(\mathbb{C}^N\) is holomorphically degenerate at a point \(p_0 \in M\) if there exists a nonzero germ of a holomorphic vector field tangent to \(M\) in a ...
M. S. Baouendi, Linda Preiss Rothschild
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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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Real Cubic Hypersurfaces and Group Laws
Revista Matemática Complutense, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Johannes Huisman
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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
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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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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 embeddability of real hypersurfaces into hyperquadrics [PDF]
Advances in Mathematics, 2018 In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any $N >n \geq 1$, the defining functions $ (z,\bar z,u)$ of all real-analytic hypersurfaces $M=\{v= (z,\bar z,u)\}\subset\mathbb C^{n+1}$ containing Levi-nondegenerate points and locally transversally ...
Ilya Kossovskiy +2 more
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