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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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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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Real hypersurfaces in Kähler manifolds [PDF]
Asian Journal of Mathematics, 2001 Building on work by S. M. Webster \ref[J. Differential Geom. 13 (1978), no. 1, 25--41; MR0520599 (80e:32015)] the author studies the geometry of the second fundamental form of a real hypersurface in a Kahler manifold. As an application he proves that a compact strictly pseudoconvex hypersurface $M\subsetC^n$ is isometric to a sphere provided that $M ...
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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
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COMPLEX SUBMANIFOLDS IN REAL HYPERSURFACES [PDF]
Journal of the Korean Mathematical Society, 2010 Let M be a C 1 real hypersurface in C n+1 , n ‚ 1, locally given as the zero locus of a C 1 real valued function r that is defined on a neighborhood of the reference point P 2 M. For each k = 1,...,n we present a necessary and sucient condition for there to exist a complex manifold of dimension k through P that is contained in M, assuming the Levi form
Chong-Kyu Han, Giuseppe Tomassini
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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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Abundance of 3-Planes on Real Projective Hypersurfaces [PDF]
Arnold Mathematical Journal, 2015 We show that a generic real projective $n$-dimensional hypersurface of odd degree $d$, such that $4(n-2)=\binom{d+3}3$, contains "many" real 3-planes, namely, in the logarithmic scale their number has the same rate of growth, $d^3\log d$, as the number of complex 3-planes. This estimate is based on the interpretation of a suitable signed count of the 3-
Finashin, Sergey, Kharlamov, Viatcheslav
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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
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Topology of Random Real Hypersurfaces [PDF]
Revista Colombiana de Matemáticas, 2015 Las siguientes son las notas de un mini curso que dí durante la escuela de verano CIMPA en Villa de Leyva, Colombia, en julio de 2014. El tema fue el trabajo que en conjunto se desarrolló con Damien Gayet sobre la topología de las hipersuperficies reales aleatorias, restringiéndonos al caso de los espacios proyectivos y enfocándonos en nuestras ...
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The Value of Device Characterization for the Optimization of Organic Solar Cells
Advanced Energy Materials, EarlyView.Using the example of organic photovoltaics (OPV), this study examines whether and when additional measurements can be helpful in process optimization. A virtual laboratory based on real solar cells serves as a benchmark function to compare two different approaches for process optimization, namely black‐box optimization (black circle) and model‐based ...
Leonard Christen +4 more
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