Results 91 to 100 of about 5,383,504 (242)
Sphericity of a Real Hypersurface via Projective Geometry
, 2016 Identifying the 3-sphere among real hypersurfaces in 2-dimensional complex space is a problem which attracted a lot of attention of experts in CR-geometry since the work of Cartan and Chern-Moser.
Kossovskiy, Ilya
core
Real hypersurfaces with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians
, 2017 The objective of the present paper is to prove the non-existence of real hypersurface with pseudo-parallel normal Jacobi operator in complex two-plane Grassmannians.
Avik De, Tee-How Loo
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Some structure theorems for Weingarten surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Let M⊂R3$M\subset \mathbb {R}^3$ be a properly embedded, connected, complete surface with boundary a convex planar curve C$C$, satisfying an elliptic equation H=f(H2−K)$H=f(H^2-K)$, where H$H$ and K$K$ are the mean and the Gauss curvature, respectively—which we will refer to as Weingarten equation.
Angelo Benedetti
wiley +1 more source
Real Hypersurfaces with Many Simple Singularities
Revista Matemática Complutense, 2005 This paper extends the results of \textit{E. Shustin} and \textit{E. Westenberger} [J. Lond. Math. Soc., II. Ser. 70, No. 3, 609--624 (2004; Zbl 1075.14034)] on the existence of algebraic hypersurfaces with prescribed simple singularities to the real case.
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Weighted Bergman spaces of domains with Levi-flat boundary (Topology of pseudoconvex domains and analysis of reproducing kernels) [PDF]
, 2021 This note is an announcement of the author's recent works [1, 2, 3] on Levi-flat real hypersurfaces, which are motivated by the non-existence of smooth Levi-flat real hypersurface in the complex projective ...
Adachi, Masanori
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
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Defining equations for real analytic real hypersurfaces in 𝐶ⁿ [PDF]
Transactions of the American Mathematical Society, 1986 A defining function for a real analytic real hypersurface can be uniquely written as 2 Re
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SOME CHARACTERIZATIONS OF THE HOMOGENEOUS RULED REAL HYPERSURFACE IN A COMPLEX HYPERBOLIC SPACE
, 2019 Motivated by the notion of ruled surfaces in Euclidean 3-space, we consider ruled real hypersurfaces isometrically immersed into an n-dimensional complex hyperbolic space of constant holomorphic sectional curvature c(< 0).
Maeda, Sadahiro
core
$\mathfrak D^\perp$-invariant real hypersurfaces in complex Grassmannians of rank two
, 2017 Let $M$ be a real hypersurface in complex Grassmannians of rank two. Denote by $\mathfrak J$ the quaternionic K\"{a}hler structure of the ambient space, $TM^\perp$ the normal bundle over $M$ and $\mathfrak D^\perp=\mathfrak JTM^\perp$.
Loo, Tee-How, Lee, Ruenn-Huah
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International Journal of Mathematics and Mathematical Sciences, 1990 We study how the notion of time can affect the motion of particles within the No Integrability Aesthetic Field Theory. We show that the Minkowski hypothesis of treating x4 as pure imaginary as well as the fourth component of vectors as pure imaginary ...
M. Muraskin
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