Results 51 to 60 of about 10,016 (227)
We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Eastwood, Michael, Ezhov, V
openaire +4 more sources
This thesis is concerned with Hopf hypersurfaces of Kähler and nearly Kähler manifolds and gives special emphasis to the cases of hypersurfaces of complex projective spaces and of the 6-sphere endowed with its nearly Kähler almost complex structure ...
Martins, J.K., Martins, José Kenedy
core
A Class of Special Hypersurfaces in Real Space Forms
We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures.
Yan Zhao, Ximin Liu
doaj +1 more source
Vertical Deformation Mapping: Steering Optimiser Toward Flat Minima
ABSTRACT Standard deep learning optimisation is typically conducted on shape‐fixed loss surfaces. However, shape‐fixed loss surfaces may impede optimisers from reaching flat regions closely associated with strong generalisation. In this work, we propose a new paradigm named deformation mapping to deform the loss surface during optimisation.
Liangming Chen +4 more
wiley +1 more source
Singular Tropical Hypersurfaces [PDF]
Several improvements.
Alicia Dickenstein, Luis Felipe Tabera
openaire +4 more sources
On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces [PDF]
summary:In this note, we investigate $n$-dimensional spacelike hypersurfaces $M^n$ with $R=aH+b$ in locally symmetric Lorentz space.
Mi, Rong +8 more
core +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
summary:We introduce the new notion of pseudo-$\mathbb D $-parallel real hypersurfaces in a complex projective space as real hypersurfaces satisfying a condition about the covariant derivative of the structure Jacobi operator in any direction of the ...
Pérez, Juan de Dios +6 more
core +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
Stable space-like hypersurfaces in the de Sitter space [PDF]
summary:In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter ...
Junlei, Deng, Liu, Ximin
core

