Results 1 to 10 of about 222,783 (227)
Complex submanifolds in real-analytic pseudoconvex hypersurfaces [PDF]
, 1977 Klas Diederich, John Erik Fornæss
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Formal biholomorphic maps of real analytic hypersurfaces [PDF]
Mathematical Research Letters, 2000 Let f : (M,p)\to (M',p') be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in \C^n, p'=f(p). Assuming the source manifold to be minimal at p, we prove the convergence of the so-called reflection function associated to f.
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Convergence of formal embeddings between real-analytic hypersurfaces in codimension one [PDF]
J. Differential Geom., 62, 163--173, (2002)., 2003 We show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is convergent. More generally, if $M$ and $M'$ are merely Levi-nondegenerate, the same conclusion holds for any formal embedding provided either that the embedding is CR transversal or ...
arxiv
Compact real hypersurfaces with constant mean curvature as a complex projective space [PDF]
, 1978 Masafumi Okumura
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A characterization of a real hypersurface of type B
Tsukuba Journal of Mathematics, 1990 Moreover, Takagi [13] proved that if a real hypersurface of PnC has two or three distinctconstant principal curvatures, then M is locally congruent to the case of the homogeneous ones of type Ax, A2 or B. In what follows the induced almost contact metric structure of the real hypersurface of Mn{c) is denoted by (0, g, |, rj).
Ki, U-Hang +2 more
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Polyharmonic hypersurfaces into pseudo-Riemannian space forms. [PDF]
Ann Mat Pura Appl, 2023 Branding V +3 more
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Real hypersurfaces with cyclic-parallel Ricci tensor of a complex projective space [PDF]
, 1988 Jung-Hwan Kwon, Hisao Nakagawa
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Real Minimal Hypersurfaces in a Complex Projective Space [PDF]
, 1980 Masahiro Kon
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On the total curvature of tropical hypersurfaces [PDF]
arXiv, 2013 This paper studies the curvatures of amoebas and real amoebas (i.e. essentially logarithmic curvatures of the complex and real parts of a real algebraic hypersurface) and of tropical and real tropical hypersurfaces. If V is a tropical hypersurface defined over the field of real Puiseux series, it has a real part RV which is a polyhedral complex.
arxiv