Results 71 to 80 of about 87,606 (230)
Fat equator effect and minimality in immersions and submersions of the sphere
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Inspired by the equatorial concentration of measure phenomenon in the sphere, a result which is deduced from the general (and intrinsic), concentration of measure in Sn(1)$\mathbb {S}^n(1)$, we describe in this paper an equatorial concentration of measure satisfied by the closed (compact without boundary), isometric and minimal immersions x:Σm→
Vicent Gimeno i Garcia, Vicente Palmer
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Expert Systems, Volume 42, Issue 10, October 2025.ABSTRACT Cancer is one of the leading causes of death worldwide, and early diagnosis of the disease is one of the most important factors in reducing mortality or increasing lifespan. Traditionally, healthcare experts use various sources of information to determine a diagnosis, often including some form of imaging along with clinical and demographic ...
Leandro Muniz de Lima +1 more
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Properties of infinite harmonic functions relative to Riemannian vector fields
Le Matematiche, 2008 We employ Riemannian jets which are adapted to the Riemannian geometry to obtain the existence-uniqueness of infinite harmonic functions in Riemannian spaces. We then show such functions are equivalent to those that enjoy comparison with Riemannian cones.
Thomas Bieske
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A note on the magnetic Steklov operator on functions
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar +3 more
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THE EINSTEIN GENERALIZED RIEMANNIAN GEOMETRY [PDF]
Proceedings of the National Academy of Sciences, 1963 It is shown that the generalized Hiemann tensor can be derived from Einstein's equations that relate the nonsymmetric covariant metric tensor of the space-time continuum of four dimensions and the contravariant tensor. (C.E.S.)
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Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
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Contact Structures of Sasaki Type and Their Associated Moduli
Complex Manifolds, 2019 This article is based on a talk at the RIEMain in Contact conference in Cagliari, Italy in honor of the 78th birthday of David Blair one of the founders of modern Riemannian contact geometry.
Boyer Charles P.
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Pontryagin Calculus in Riemannian Geometry
, 2015 In this contribution, we study systems with a finite number of degrees of freedom as in robotics. A key idea is to consider the mass tensor associated to the kinetic energy as a metric in a Riemannian configuration space. We apply Pontryagin's framework to derive an optimal evolution of the control forces and torques applied to the mechanical system ...
Claude Vallée +4 more
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The Geometry of Riemannian Curvature Radii
Journal of Dynamical and Control Systems, 2023 AbstractWe study the geometric structures associated with curvature radii of curves with values on a Riemannian manifold (M, g). We show the existence of sub-Riemannian manifolds naturally associated with the curvature radii and we investigate their properties. In the particular case of surfaces these sub-Riemannian structures are of Engel type.
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