Results 11 to 20 of about 41,546 (140)
On Nearly Sasakian and Nearly Kähler Statistical Manifolds
Mathematics, 2023 In this paper, we introduce the notions of nearly Sasakian and nearly Kähler statistical structures with a non-trivial example. The conditions for a real hypersurface in a nearly Kähler statistical manifold to admit a nearly Sasakian statistical ...
Siraj Uddin +3 more
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Quasi-Einstein Hypersurfaces of Complex Space Forms
Advances in Mathematical Physics, 2020 Based on a well-known fact that there are no Einstein hypersurfaces in a nonflat complex space form, in this article, we study the quasi-Einstein condition, which is a generalization of an Einstein metric, on the real hypersurface of a nonflat complex ...
Xuehui Cui, Xiaomin Chen
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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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Are There Any Natural Physical Interpretations for Some Elementary Inequalities?
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
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Extension of holomorphic maps between real hypersurfaces of different dimension [PDF]
, 2006 It is proved that the germ of a holomorphic map from a real analytic hypersurface M in C^n into a strictly pseudoconvex compact real algebraic hypersurface M' in C^N, 1 < n < N extends holomorphically along any path on ...
Shafikov, Rasul, Verma, Kaushal
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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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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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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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