Results 31 to 40 of about 1,077,898 (187)

On the volume functional of compact manifolds with boundary with constant scalar curvature

, 2008
We study the volume functional on the space of constant scalar curvature metrics with a prescribed boundary metric. We derive a sufficient and necessary condition for a metric to be a critical point, and show that the only domains in space forms, on ...
A.E. Fischer, A.L. Besse, D. Fischer-Colbrie, D. Gilbarg, D. Sattinger, E. Sperner, E. Witten, I. Agol, J. Corvino, Luen-Fai Tam, P. Miao, P. Miao, Pengzi Miao, R. Arnowitt, R. Bartnik, R. Schoen, Y.-G. Shi, Y.-G. Shi   +17 more
core   +1 more source

Apparent horizons in simplicial Brill wave initial data [PDF]

, 1998
We construct initial data for a particular class of Brill wave metrics using Regge calculus, and compare the results to a corresponding continuum solution, finding excellent agreement. We then search for trapped surfaces in both sets of initial data, and
Adrian P Gentle, Alcubierre M, Brill D R, Daniel E Holz, Dubal M R, Gentle A P, Gentle A P, Hawking S W, Holz D E, John A Wheeler, Miyama S M, Regge T, Warner A Miller, Wheeler J A   +13 more
core   +2 more sources

Critical metrics of the $L^2$-norm of the scalar curvature

, 2013
In this paper we investigate complete critical metrics of the $L^{2}$-norm of the scalar curvature. We prove that any complete critical metric with positive scalar curvature has constant scalar curvature and we characterize critical metrics with ...
Catino, Giovanni
core   +1 more source

Vulnerability of water resource management to climate change: Application to a Pyrenean valley

Journal of Hydrology: Regional Studies, 2022
Study region:: The Aure Valley in the French Pyrenees. Study focus:: This study applies a bottom-up framework for assessing water management vulnerability in terms of hydropower production, environmental regulations, and reservoir storage management by ...
Peng Huang, Eric Sauquet, Jean-Philippe Vidal, Natacha Da Riba   +3 more
doaj   +1 more source

StackInsights: Cognitive Learning for Hybrid Cloud Readiness

, 2017
Hybrid cloud is an integrated cloud computing environment utilizing a mix of public cloud, private cloud, and on-premise traditional IT infrastructures.
Bathen, Luis, Génot, Simon-Pierre, Lee, Sunhwan, Qiao, Mu, Routray, Ramani   +4 more
core   +1 more source

$$L^2$$-critical NLS on noncompact metric graphs with localized nonlinearity: topological and metric features [PDF]

Calculus of Variations and Partial Differential Equations, 2019
Carrying on the discussion initiated in (Dovetta-Tentarelli'18), we investigate the existence of ground states of prescribed mass for the $L^2$-critical NonLinear Schr dinger Equation (NLSE) on noncompact metric graphs with localized nonlinearity. Precisely, we show that the existence (or nonexistence) of ground states mainly depends on a parameter ...
Dovetta Simone, Tentarelli Lorenzo
openaire   +5 more sources

Critical associated metrics on contact manifolds. II [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1986
AbstractThe study of the integral of the scalar curvature, ∫MRdVg, as a function on the set of all Riemannian metrics of the same total volume on a compact manifold is now classical, and the critical points are the Einstein metrics. On a compact contact manifold we consider this and ∫M (R − R* − 4n2) dv, with R* the *-scalar curvature, as functions on ...
Blair, D. E., Ledger, A. J.
openaire   +2 more sources

Heat vulnerability assessment: A systematic review of critical metrics

Hygiene and Environmental Health Advances
Research on heat vulnerability provides a scientific foundation for identifying heatwave-sensitive areas and vulnerable populations, thereby enabling targeted climate adaptation.
Yuchen Qian, Tiedong Liu
doaj   +1 more source

Quantitative resilience assessment on critical infrastructures – A systematic literature review of the last decade (2014-2024)

Journal of Safety Science and Resilience
The everyday functioning of infrastructures and the capacity of their owners to provide high-quality services are critical to the well-being of communities and societies.
Andrea De Marco, Davide Berardi, Marta Galuppi, Mara Lombardi   +3 more
doaj   +1 more source

Time for Science-Based National Targets for Environmental Sustainability: An Assessment of Existing Metrics and the ESGAP Framework

Frontiers in Environmental Science, 2021
Despite the overwhelming scientific evidence on the ongoing degradation of the environment, there is a clear gap between the urgency of the environmental crisis and the policy measures put in place to tackle it.
Arkaitz Usubiaga-Liaño, Paul Ekins
doaj   +1 more source