Results 61 to 70 of about 2,493 (230)
The Continuity Equation, Hermitian Metrics and Elliptic Bundles [PDF]
We extend the continuity equation of La Nave-Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern-Ricci flow, and we illustrate this in the case of elliptic bundles over a curve of genus at least two.
Sherman, Morgan, Weinkove, Ben
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Fully‐Constrained Variable Projection for Water‐Fat Models
ABSTRACT Purpose Variable projection (VARPRO) is an effective technique to reduce the dimensionality of least squares optimization problems through the elimination of linear parameters. For water‐fat models, constrained VARPRO variants have been proposed in the literature to ensure that water and fat components are aligned at TE = 0, thereby preventing
Carl Ganter +4 more
wiley +1 more source
On a natural $$L^2$$ metric on the space of Hermitian metrics
We investigate the space of Hermitian metrics on a fixed complex vector bundle. This infinite-dimensional space has appeared in the study of Hermitian-Einstein structures, where a special L2-type Riemannian metric is introduced. We compute the metric spray, geodesics and curvature associated to this metric, and show that the exponential map is a ...
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ABSTRACT Aims Purpose: Dictionary matching is a standard tool in quantitative MRI (qMRI), but typically lacks uncertainty quantification (UQ). This is critical when advanced reconstructions (e.g., compressed sensing, deep learning) introduce complex‐valued, spatially varying, and temporally correlated noise that violates standard assumptions of ...
Brian Toner +7 more
wiley +1 more source
Kahler manifolds and their relatives
Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
core
The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type [PDF]
Xuemiao Chen, Richard Wentworth
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ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva +2 more
wiley +1 more source
Study of a new type of metric connection in an almost Hermitian manifold [PDF]
This paper contains the study of an almost Hermitian manifold equippedwith a new type of metric connection.we have found the condition for an almostHermitian manifold equipped with a new type of metric connection to be an almostK¨ahler manifold.
Pandey, Pankaj, Chaturvedi, Braj Bhushan
core
A freestanding polymer metasurface is developed to enhance light emission from atomically thin semiconductors. By supporting higher‐order optical resonances that concentrate electromagnetic fields at the surface, the platform significantly improves coupling between light and WS2 monolayer.
Chih‐Zong Deng +10 more
wiley +1 more source
Singular hermitian metrics and the decomposition theorem of Catanese, Fujita, and Kawamata [PDF]
Luigi Lombardi, Christian Schnell
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