Results 81 to 90 of about 1,716 (234)

Algebraic tori in the complement of quartic surfaces

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract Let B⊂P3$B\subset \mathbb {P}^3$ be an slc quartic surface. The existence of an embedding Gm3↪P3∖B$\mathbb {G}_m^3\hookrightarrow \mathbb {P}^3\setminus B$ implies that B$B$ has coregularity zero. In this article, we initiate the classification of coregularity zero semi log canonical (slc) quartic surfaces B⊂P3$B\subset \mathbb {P}^3$ for ...
Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga   +2 more
wiley   +1 more source

Isoparametric and Dupin Hypersurfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2008
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj   +1 more source

On holomorphic one-forms transverse to closed hypersurfaces

Anais da Academia Brasileira de Ciências, 2003
In this note we announce some achievements in the study of holomorphic distributions admitting transverse closed real hypersurfaces. We consider a domain with smooth boundary in the complex affine space of dimension two or greater. Assume that the domain
Toshikazu Ito, Bruno Scárdua
doaj   +1 more source

Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space

Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley   +1 more source

Nonexistence of Homogeneous Levi-Flat Hypersurfaces in ${\mathbb{C}\mathbb{P}}^2$

Mathematics
We investigate the longstanding question of whether compact Levi-flat hypersurfaces exist in the complex projective plane CP2. While the nonexistence of closed real-analytic Levi-flat hypersurfaces in CPn for n>2 is well known, the case n=2 remains open.
Abdel Rahman Al-Abdallah
doaj   +1 more source

REAL HYPERSURFACES IN COMPLEX MANIFOLDS [PDF]

Acta Mathematica, 1974
Chern, S. S., Moser, J. K.
openaire   +4 more sources

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
openaire   +3 more sources

Some Real Hypersurfaces in Complex and Complex Hyperbolic Quadrics [PDF]

, 2019
Juan de Dios Pérez
openalex   +1 more source

What Is a Simple Liquid?

Physical Review X, 2012
This paper is an attempt to identify the real essence of simplicity of liquids in John Locke’s understanding of the term. Simple liquids are traditionally defined as many-body systems of classical particles interacting via radially symmetric pair ...
Trond S. Ingebrigtsen, Thomas B. Schrøder, Jeppe C. Dyre   +2 more
doaj   +1 more source

On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source