Results 61 to 70 of about 220,392 (138)

Formal biholomorphic maps of real analytic hypersurfaces [PDF]

open access: yesMathematical 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.
openaire   +4 more sources

Convergence of formal embeddings between real-analytic hypersurfaces in codimension one [PDF]

open access: yesJ. 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  

A characterization of a real hypersurface of type B

open access: yesTsukuba 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
openaire   +3 more sources

Intersections of Real Symmetric Hypersurfaces

open access: yes
8 pages.
Lidz, Samuel   +2 more
openaire   +2 more sources

On the total curvature of tropical hypersurfaces [PDF]

open access: yesarXiv, 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  

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