Results 41 to 50 of about 215 (152)
INDEFINITE GENERALIZED SASAKIAN SPACE FORM ADMITTING A GENERIC LIGHTLIKE SUBMANIFOLD [PDF]
The geometry of an indefinite generalized Sasakian space form \(\bar{M}(f_1,f_2,f_3)\) admitting a generic light-like submanifold \(M\) such that the structure vector field \(\zeta\) of \(\bar{M}(f_1,f_2,f_3)\) is tangent to the submanifold is studied. A classification theorem of such an indefinite generalized Sasakian space form is given.
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The dimension of well approximable numbers
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
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The GJMS operators in geometry, analysis and physics
Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
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The legacy of the Cartwright–Littlewood collaboration
Abstract Mary L. Cartwright and John E. Littlewood published a short “preliminary survey” in 1945 describing results of their investigation of the forced van der Pol equation ÿ−k(1−y2)ẏ+y=bλkcos(λt+a)$$\begin{equation*} \ddot{y}-k(1-y^2)\dot{y}+y = b \lambda k \cos (\lambda t+a) \end{equation*}$$in which b,λ,k,a$b,\lambda,k,a$ are parameters with k$k$
John Guckenheimer
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Fundamental groups, geometry, and some papers of Scott
Abstract Throughout the history of 3‐manifolds, the fundamental group has played a central role. There is a list of reasons for that, and exactly what that role is has evolved over time, but it has always been a player. The papers under consideration here all written by G.
D. D. Long
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Generalized symmetric submanifolds of Euclidean spaces
This paper contains some results from the thesis written by the second author under the supervision of the first one. They study the so-called k-symmetric spaces, a class of Riemannian manifolds which generalizes properly the class of symmetric spaces.
Kowalski, O., Kulich, I.
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Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
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Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
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
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CR-Submanifolds of Generalized -Space Forms [PDF]
We study sectional curvature, Ricci tensor, and scalar curvature of submanifolds of generalized -space forms. Then we give an upper bound for foliate -horizontal (and vertical) CR-submanifold of a generalized -space form and an upper bound for minimal -horizontal (and vertical) CR-submanifold of a generalized -space form.
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Comments on the RG‐Flow in Open String Field Theory
Abstract We define a metric G$G$ on the KBc‐subalgebra modulo gauge and describe the worldsheet RG‐flow as the gradient flow of the action of cubic open string field theory, where the flow lines are kink‐solitons. In particular, for a constant tachyon the gradient flow equations are equivalent to the RG‐equations. Additionally, a more general family of
Julius Hristov
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