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Ricci solutions and real hypersurfaces [PDF]
Ricci solutions and real hypersurfacesWe study the expression similar to the equation of Ricci solution. As applications we give conditions for real hypersurfaces of a complex space form to be some Hopf hypersurface 弘前大学教育学部紀要.
昆, 正博, 昆, 万佑子
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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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A certain tensor on real hypersurfaces in a nonflat complex space form [PDF]
, 2020 summary:In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(\phi , \xi , \eta , g)$ induced from the ambient space.
Okumura, Kazuhiro
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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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Lie derivatives on real hypersurfaces in a complex projective space [PDF]
, 1995 summary:We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$
Kimura, Makoto +2 more
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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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Filling Real Hypersurfaces by Pseudoholomorphic Discs [PDF]
Journal of Geometric Analysis, 2008 We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold. We give sufficient conditions for filling a one sided neighborhood of the hypersurface by the discs.
Sukhov, Alexandre, Tumanov, Alexander
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Real hypersurfaces with constant totally real sectional curvature in a complex space form [PDF]
, 2000 summary:We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional ...
Pérez, Juan de Dios +2 more
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On pseudo-Einstein real hypersurfaces [PDF]
Advances in Geometry, 2019 Abstract Let M be a real hypersurface of a complex space form Mn (c) with c ≠ 0 and n ≥ 3. We show that the Ricci tensor S of M satisfies S(X, Y) = ag(X, Y) for all vector fields X and Y on the holomorphic distribution, a being a constant, if and only if M is a pseudo-Einstein real hypersurface.
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Computing the real isolated points of an algebraic hypersurface [PDF]
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020 Let $\mathbb{R}$ be the field of real numbers. We consider the problem of computing the real isolated points of a real algebraic set in $\mathbb{R}^n$ given as the vanishing set of a polynomial system. This problem plays an important role for studying rigidity properties of mechanism in material designs.
Le, Huu Phuoc +2 more
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