Time-like surfaces with zero mean curvature vector in 4-dimensional neutral space forms
Pracì Mìžnarodnogo Geometričnogo CentruLet M be a Lorentz surface and F:M→N a time-like and conformal immersion of M into a 4-dimensional neutral space form N with zero mean curvature vector.
Naoya Ando
doaj +1 more source
Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
Chern Flat and Chern Ricci-Flat Twisted Product Hermitian Manifolds
MathematicsLet (M1,g) and (M2,h) be two Hermitian manifolds. The twisted product Hermitian manifold (M1×M2f,G) is the product manifold M1×M2 endowed with the Hermitian metric G=g+f2h, where f is a positive smooth function on M1×M2.
Shuwen Li +3 more
doaj +1 more source
Almost Kähler manifolds of constant holomorphic sectional curvature
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 The authors treat the holomorphic sectional curvature for almost Kähler manifolds. Their results are based on the identity \(R(X,Y,Z,W)=R(JX,JY,JZ,JW)\), proved by H. Farran, which unfortunately does not hold in general for this class of manifolds. The tangent bundle of a non-flat Riemannian manifold provides a simple counterexample.
Nagaich, R. K., Husain, S. I.
openaire +3 more sources
On the dimension of the boundaries of attracting basins of entire maps
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Let f:C→C$f:\mathbb{C}\to \mathbb{C}$ be a transcendental entire map from the Eremenko–Lyubich class B$\mathcal {B}$, and let ζ$\zeta$ be an attracting periodic point of period p$p$. We prove that the boundaries of components of the attracting basin of (the orbit of) ζ$\zeta$ have hyperbolic (and, consequently, Hausdorff) dimension larger than
Krzysztof Barański +4 more
wiley +1 more source
On the Sectional Curvature of Holomorphic Curvature Operators [PDF]
Proceedings of the American Mathematical Society, 1981 Guerrero, Ignacio, Zoltek, Stanley M.
openaire +2 more sources
Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]
J Geom Anal, 2022 Datar V, Jacob A.
europepmc +1 more source
Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]
Entropy (Basel), 2022 Decu S, Vîlcu GE.
europepmc +1 more source
Holomorphic isomorphism which preserves certain holomorphic sectional curvature [PDF]
Kodai Mathematical Journal, 1977 Kobayashi, Minoru, Tsuchiya, Susumu
openaire +2 more sources
Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]
Lett Math Phys, 2022 Fajman D, Urban L.
europepmc +1 more source