Results 11 to 20 of about 42,392 (191)
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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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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Homogeneous real hypersurfaces [PDF]
Mathematical Research Letters, 1995 Let \(M\) be an analytic real hypersurface through the origin in \(\mathbb{C}^n\). The hypersurface \(M\) is called weighted homogeneous if it is locally equivalent, via a biholomorphic map which preserves the origin, to a hypersurface given by an equation of the form \(P(z, \overline z) = 0\), where \(P\) is a polynomial which is homogeneous with ...
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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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On the structure vector field of a real hypersurface in complex quadric
Open Mathematics, 2018 From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
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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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ALMOST HOLOMORPHIC CURVES IN REAL ANALYTIC HYPERSURFACES
, 2023 Using the theory of exterior differential systems, we study the existence of germ of pseudo-holomorphic disk in a real analytic hypersurface locally defined in a complex manifold equipped with J a real analytic almost complex structure. The integrable case in C n with J the multiplication by i has been intensively studied by several authors [DF], [DA1]
Bonneau, Pierre, Mazzilli, Emmanuel
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Chirality of Real Non-singular Cubic Fourfolds and Their Pure Deformation Classification [PDF]
, 2019 In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the ...
Finashin, Sergey, Kharlamov, Viatcheslav
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The Viro Method for Construction of Piecewise Algebraic Hypersurfaces
Abstract and Applied Analysis, 2013 We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
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