Results 61 to 70 of about 8,796 (232)
Bernstein-type theorems in hypersurfaces with constant mean curvature
By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
doaj +1 more source
On a property of W4 -manifolds
The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj +1 more source
Survey on differential estimators for 3d point clouds
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities [PDF]
In this note we provide a formula for the Tjurina number of a join of isolated hypersurface singularities in separated variables. From this we are able to provide a characterization of isolated hypersurface singularities whose difference between the ...
Almirón, Patricio
core +1 more source
Singularities of spherical surface in R4
In this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
UNIRATIONALITY OF CUBIC HYPERSURFACES [PDF]
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
openaire +2 more sources
Alexander invariants of hypersurface complements [PDF]
We study Alexander invariants associated to complements of complex hypersurfaces. We show that for a hypersurface V with non-isolated singularities and in general position at infinity, these global invariants of the hypersurface complement are entirely ...
Maxim, Laurentiu G
core
On Curvatures of the Torus Hypersurface in 4-Space [PDF]
We study curvatures of torus hypersurface in the four dimensional Euclidean space.
Güler, Erhan
core +1 more source
Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere
For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
doaj +1 more source

