Results 71 to 80 of about 67,338 (298)
Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
ریاضی و جامعهThis paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj +1 more source
Advanced Materials Technologies, EarlyView.This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane +4 more
wiley +1 more source
3d gravity as a random ensemble
Journal of High Energy PhysicsWe give further evidence that the matrix-tensor model studied in [1] is dual to AdS3 gravity including the sum over topologies. This provides a 3D version of the duality between JT gravity and an ensemble of random Hamiltonians, in which the matrix and ...
Daniel L. Jafferis +2 more
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Advanced Photonics Research, EarlyView.This review highlights recent advances in accelerating luminescence in nanostructures through cooperative emission, resonator coupling, and nonlocal light–matter interactions. By unifying concepts such as excitonic superradiance, superfluorescence, and the plasmonic Purcell effect, it reveals physical limits of ultrafast emission and their potential ...
Masaaki Ashida +3 more
wiley +1 more source
Isometric cusps in hyperbolic 3-manifolds.
Michigan Mathematical Journal, 1999 Two cusps in a cusped finite volume hyperbolic \(3\)-manifold are called maximally isometric if their corresponding maximal cusps have isometric interiors. This paper provides a list of cusps, defined up to maximal isometry, such that given any cusp from the list and any cusped finite volume hyperbolic \(3\)-manifold \(M\), there exist two disjoint ...
openaire +2 more sources
Verified computations for closed hyperbolic 3‐manifolds [PDF]
Bulletin of the London Mathematical Society, 2020 Extending methods first used by Casson, we show how to verify a hyperbolic structure on a finite triangulation of a closed 3-manifold using interval arithmetic methods. A key ingredient is a new theoretical result (akin to a theorem by Neumann-Zagier and Moser for ideal triangulations upon which HIKMOT is based) showing that there is a redundancy among
openaire +3 more sources
Vol3 and other exceptional hyperbolic 3-manifolds [PDF]
Proceedings of the American Mathematical Society, 2000 ``D. Gabai, R. Meyerhoff and N. Thurston identified seven families of exceptional hyperbolic manifolds in their proof that a manifold which is homotopy equivalent to a hyperbolic 3-manifold is hyperbolic. These families are each conjectured to consist of a single manifold. In fact, an important point in their argument depends on this conjecture holding
Jones, K. N., Reid, A. W.
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On commensurability of fibrations on a hyperbolic 3-manifold
, 2013 We discuss fibered commensurability of fibrations on a hyperbolic 3-manifold, a notion introduced by Calegari, Sun and Wang. We construct manifolds with non-symmetric but commensurable fibrations on the same fibered face.
Masai, Hidetoshi
core +1 more source
Advanced Photonics Research, EarlyView.Recent advances in nanophotonics‐based chiral biosensing approaches are comprehensively reviewed, highlighting key trends, advantages, and limitations of each technology. Special attention is given to emerging strategies that exploit magneto‐optical and quantum plasmonic phenomena to enhance sensitivity down to the level of a few molecules, or even a ...
Jorge Ricardo Mejía‐Salazar
wiley +1 more source
Shrinkwrapping and the taming of hyperbolic 3-manifolds [PDF]
, 2004 We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.Comment: 60 pages, 7 figures;
Calegari, Danny, Gabai, David
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