Results 81 to 90 of about 1,762,917 (199)

Darboux transforms and spectral curves of constant mean curvature surfaces revisited [PDF]

, 2010
We study the geometric properties of Darboux transforms of constant mean curvature (CMC) surfaces and use these transforms to obtain an algebro-geometric representation of constant mean curvature tori.
Carberry, Emma, Leschke, Katrin, Pedit, Franz   +2 more
core  

A 3D Visual Tool for Analyzing Changes in Hair Volume and Length Caused by Medications

Computer Animation and Virtual Worlds, Volume 36, Issue 4, July/August 2025.
Changes in Hair Length and Volume Caused by Drug Treatment. ABSTRACT This paper proposes a 3D visual tool based on physically‐based simulation to verify and analyze changes in the volume and length of hair after treatment with cosmetics or other chemicals.
Jong‐Hyun Kim, Jung Lee, Seungbin Kwon, Minji Jo, Yunjin Hwang, In‐Sook An   +5 more
wiley   +1 more source

New Vector Fields and Planes Obtained by the Extended Darboux Frame Apparatus of the Second Kind

WSEAS Transactions on Mathematics
In this paper, new vector fields are defined along a curve lying on an orientable hypersurface with nonvanishing extended Darboux curvatures of the second kind, and some new planes and curves are introduced using these vector fields in Euclidean 4-space.
B. U. Düldül
semanticscholar   +1 more source

Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
wiley   +1 more source

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

Integrable discretization of the vector/matrix nonlinear Schr\"odinger equation and the associated Yang-Baxter map

, 2015
The action of a B\"acklund-Darboux transformation on a spectral problem associated with a known integrable system can define a new discrete spectral problem.
Tsuchida, Takayuki
core  

On the isoperimetric Riemannian Penrose inequality

Communications on Pure and Applied Mathematics, Volume 78, Issue 5, Page 1042-1085, May 2025.
Abstract We prove that the Riemannian Penrose inequality holds for asymptotically flat 3‐manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal decay assumptions are met, which result in the ADM$\operatorname{ADM}$ mass being a well‐defined geometric invariant.
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri   +2 more
wiley   +1 more source

On some new frames along a space curve and integral curves with Darboux q-vector fields in $ \mathbb{E}^3 $

AIMS Mathematics
In this paper, to start we defined osculating q-frame, normal q-frame, and rectifying q-frame along a space curve in Euclidean 3-space $ \mathbb{E}^3 $ by using the Darboux vector field of the q-frame.
Bahar UYAR DÜLDÜL
semanticscholar   +1 more source

Foundations of Ghost Stability

Fortschritte der Physik, Volume 73, Issue 4, April 2025.
Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez, Jordi Gaset Rifà, Georgina Staudt   +2 more
wiley   +1 more source

Nondensity results in high‐dimensional stable Hamiltonian topology

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We push forward the study of higher dimensional stable Hamiltonian topology by establishing two nondensity results. First, we prove that stable hypersurfaces are not C3$C^3$‐dense in any isotopy class of embedded hypersurfaces on any ambient symplectic manifold of dimension 2n⩾8$2n\geqslant 8$.
Robert Cardona, Fabio Gironella
wiley   +1 more source