Results 81 to 90 of about 4,560,118 (257)

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

پژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj  

On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups

Mathematische Nachrichten, Volume 298, Issue 6, Page 1922-1942, June 2025.
Abstract This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality.
Giovanni Calvaruso, Marco Castrillón‐Lopez, Lorenzo Pellegrino   +2 more
wiley   +1 more source

On holomorphic extension of functions on singular real hypersurfaces in ℂn

International Journal of Mathematics and Mathematical Sciences, 2001
The holomorphic extension of functions defined on a class of real hypersurfaces in ℂn with singularities is investigated. When n=2, we prove the following: every C1 function on Σ that satisfies the tangential Cauchy-Riemann equation on boundary of {(z,w)∈
Tejinder S. Neelon
doaj   +1 more source

Real hypersurfaces in the complex hyperbolic quadric with parallel structure Jacobi operator

Publicationes mathematicae (Debrecen), 2019
We introduce the notion of parallel structure Jacobi operator for real hypersurfaces in the complex hyperbolic quadric Qm∗ = SO 2,m/SO2SOm, m ≥ 3, and prove a non-existence result for real hypersurfaces in Qm∗ = SO 2,m/SO2SOm, m ≥ 3, with parallel ...
Y. Suh, Juan de Dios P 'erez, Changhwa Woo   +2 more
semanticscholar   +1 more source

Real hypersurfaces of a complex space form [PDF]

Proceedings - Mathematical Sciences, 2010
In this paper we are interested in obtaining a condition under which a compact real hypersurface of a complex projective space CP n is a geodesic sphere. We also study the question as to whether the characteristic vector field of a real hypersurface of the complex projective space CP
openaire   +2 more sources

On the Zoll deformations of the Kepler problem

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1749-1767, June 2025.
Abstract A celebrated result of Bertrand states that the only central force potentials on the plane with the property that all bounded orbits are periodic are the Kepler potential and the potential of the harmonic oscillator. In this paper, we complement Bertrand's theorem showing the existence of an infinite‐dimensional space of central force ...
Luca Asselle, Stefano Baranzini
wiley   +1 more source

Analytic differential equations and spherical real hypersurfaces [PDF]

Journal of Differential Geometry, 2016
We establish an injective correspondence $M\longrightarrow\mathcal E(M)$ between real-analytic nonminimal hypersurfaces $M\subset\mathbb{C}^{2}$, spherical at a generic point, and a class of second order complex ODEs with a meromorphic singularity.
Kossovskiy, Ilya, Shafikov, Rasul
openaire   +3 more sources

Wall‐crossing for quasimaps to GIT stack bundles

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We define the notion of ε$\epsilon$‐stable quasimaps to a GIT stack bundle, and study the wall‐crossing behavior of the resulting ε$\epsilon$‐quasimap theory as ε$\epsilon$ varies.
Shidhesh Supekar, Hsian‐Hua Tseng
wiley   +1 more source

Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application

Journal of New Theory
In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
doaj   +1 more source

Purity, ascent and periodicity for Gorenstein flat cotorsion modules

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We investigate purity within the Frobenius category of Gorenstein flat cotorsion modules, which can be seen as an infinitely generated analogue of the Frobenius category of Gorenstein projective objects. As such, the associated stable category can be viewed as an alternative approach to a big singularity category, which is equivalent to Krause'
Isaac Bird
wiley   +1 more source