Search results for "Bma"

showing 10 items of 241 documents

Area of intrinsic graphs and coarea formula in Carnot Groups

2020

AbstractWe consider submanifolds of sub-Riemannian Carnot groups with intrinsic $$C^1$$ C 1 regularity ($$C^1_H$$ C H 1 ). Our first main result is an area formula for $$C^1_H$$ C H 1 intrinsic graphs; as an application, we deduce density properties for Hausdorff measures on rectifiable sets. Our second main result is a coarea formula for slicing $$C^1_H$$ C H 1 submanifolds into level sets of a $$C^1_H$$ C H 1 function.

Mathematics - Differential GeometrySubmanifoldsGeneral MathematicsCarnot groups Area formula Coarea formula Hausdorff measures SubmanifoldsryhmäteoriaCoarea formulaMetric Geometry (math.MG)Area formulaHausdorff measuressubmanifoldsdifferentiaaligeometriacoarea formulaMathematics - Metric GeometryDifferential Geometry (math.DG)Mathematics - Classical Analysis and ODEsCarnot groupsClassical Analysis and ODEs (math.CA)FOS: MathematicsMathematics::Metric Geometryarea formulamittateoriaMathematics::Differential Geometry53C17 28A75 22E30
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A rigidity theorem for the pair ${\cal q}{\Bbb C} P^n$ (complex hyperquadric, complex projective space)

1999

Given a compact Kahler manifold M of real dimension 2n, let P be either a compact complex hypersurface of M or a compact totally real submanifold of dimension n. Let \(\cal q\) (resp. \({\Bbb R} P^n\)) be the complex hyperquadric (resp. the totally geodesic real projective space) in the complex projective space \({\Bbb C} P^n\) of constant holomorphic sectional curvature 4\( \lambda \). We prove that if the Ricci and some (n-1)-Ricci curvatures of M (and, when P is complex, the mean absolute curvature of P) are bounded from below by some special constants and volume (P) / volume (M) \(\leq \) volume (\(\cal q\))/ volume \(({\Bbb C} P^n)\) (resp. \(\leq \) volume \(({\Bbb R} P^n)\) / volume …

Mathematics::Complex VariablesGeneral MathematicsComplex projective spaceMathematical analysisHolomorphic functionSubmanifoldCombinatoricsHypersurfaceProjective spaceMathematics::Differential GeometrySectional curvatureRicci curvatureReal projective spaceMathematicsArchiv der Mathematik
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Volume estimate for a cone with a submanifold as vertex

1992

We give some estimates for the volume of a cone with vertex a submanifold P of a Riemannian or Kaehler manifold M. The estimates are functions of bounds of the mean curvature of P and the sectional curvature of M. They are sharp on cones having a basis which is contained in a tubular hypersurface about P in a space form or in a complex space form.

Mean curvature flowPure mathematicsMean curvatureMathematics::Complex VariablesMathematical analysisSubmanifoldHypersurfaceVertex (curve)Mathematics::Differential GeometryGeometry and TopologySectional curvatureMathematics::Symplectic GeometryRicci curvatureMathematicsScalar curvatureJournal of Geometry
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Pappus type theorems for motions along a submanifold

2004

Abstract We study the volumes volume( D ) of a domain D and volume( C ) of a hypersurface  C obtained by a motion along a submanifold P of a space form  M n λ . We show: (a) volume( D ) depends only on the second fundamental form of  P , whereas volume( C ) depends on all the i th fundamental forms of  P , (b) when the domain that we move D 0 has its q -centre of mass on  P , volume( D ) does not depend on the mean curvature of  P , (c) when D 0 is q -symmetric, volume( D ) depends only on the intrinsic curvature tensor of  P ; and (d) if the image of  P by the ln of the motion (in a sense which is well-defined) is not contained in a hyperplane of the Lie algebra of SO ( n − q − d ), and C …

Mean curvatureGeodesicVolumeSpace formParallel motionImage (category theory)Second fundamental formMathematical analysisSubmanifoldMotion along a submanifoldCombinatoricsHypersurfaceComputational Theory and MathematicsTubePappus formulaeLie algebraDomain (ring theory)Comparison theoremMathematics::Differential GeometryGeometry and TopologyAnalysisMathematicsDifferential Geometry and its Applications
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Chronological records of metal deposition in sediments from the Strait of Sicily, central Mediterranean: assessing natural fluxes and anthropogenic a…

2010

Abstract Sediment box-cores were recovered from the Strait of Sicily along two onshore–offshore transects in water depths of 29–500 m. Samples were dated by 210 Pb and analysed for major and trace elements. Inspections of chronological profiles integrated with application of statistical algorithms to the geochemical dataset and supported by in situ hydrological observations were used to assess factors driving element distributions. Mineralogical and chemical variability of sediments offshore of the southwestern Sicily coast reflect the irregular sea floor morphology of the Adventure Bank. Anthropogenic inputs explain enrichments with respect to background values for Sb, As, Pb, and Hg, that…

Mediterranean climateBox-core sedimentsTrace elementsTrace elementSedimentFlow currentsAquatic ScienceOceanographySettore GEO/08 - Geochimica E VulcanologiaStrait of SicilyOceanographyStrait of Sicily Box-core sediments Trace elements 210Pb chronology Flow currentsThermohaline circulationSubmarine pipelineTrace metalTransectGeothermal gradient210Pb chronologyEcology Evolution Behavior and SystematicsGeology
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Can recreational scuba divers alter natural gross sedimentation rate? A case study from a Mediterranean deep cave

2010

Abstract Di Franco, A., Ferruzza, G., Baiata, P., Chemello, R., and Milazzo, M. 2010. Can recreational scuba divers alter natural gross sedimentation rate? A case study from a Mediterranean deep cave. – ICES Journal of Marine Science, 67: 871–874. Submarine caves are environments with features distinguishing them from other littoral habitats but, despite their ecological importance, their response to anthropogenic disturbance has been seldom verified. One potential threat affecting natural communities within caves is represented by recreational scuba diving. Divers' disturbance within marine caves is mainly related to physical contacts and increased sediment resuspension potentially affecti…

Mediterranean climategeography.geographical_feature_categoryEcologyscuba divingAquatic ScienceSedimentationOceanographyNatural (archaeology)Scuba divingOceanographyGeographyresuspensionCavesedimentsubmarine cavessediment trapRecreationasymmetrical experimental designEcology Evolution Behavior and Systematics
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Wave energy assessment in Sicily (Italy)

2015

Abstract This research presents an estimation of wave energy potential in Sicily (Italy) carried out using both buoy wave measurements from Rete Ondametrica Nazionale (RON), the Italian Government wave buoy network, and wave parameter data by ERA-INTERIM, a recent meteorological reanalysis project of the European Centre for Medium-Range Weather Forecasts (ECMWF). Starting from these offshore data, we first identified the western part of Sicily as the area with a higher availability of offshore wave energy; subsequently, we selected a study area in the western part of the south coast and assessed the nearshore potential energy by performing propagation using a spectral model (SWAN). The near…

Meteorological reanalysisSpectral modelMeteorologyBuoySWANRenewable Energy Sustainability and the EnvironmentWave energyWave energy propagationWave buoyEnergy assessmentSettore ICAR/01 - IdraulicaMediterranean seaMediterranean SeaSubmarine pipelineSicilyGeologyWave parameter
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Modeling and simulation of an offshore crane

2018

This paper presents a mathematical modeling of a crane system using robot modeling theory as well as the numerical simulation of the dynamics of a crane and a marine craft. The simulations are performed in SimulationX and Matlab Simulink. The simulation platform includes a SimulationX-model of the crane, a realistic model of a marine craft using the Marine Systems Simulator(MSS) and the hydrodynamic sea-keeping calculations (VERES program code). The simulation results show a very good picture of the dynamic behavior of the real crane in offshore environment and verify the validation and effectiveness of the presented modeling approach.

Modeling and simulationGeneral Relativity and Quantum CosmologyComputer simulationComputingMethodologies_SIMULATIONANDMODELINGComputer scienceMathematics::Category TheoryComputerApplications_COMPUTERSINOTHERSYSTEMSSubmarine pipelineNumerical modelsKinematicsSimulation2018 13th IEEE Conference on Industrial Electronics and Applications (ICIEA)
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Sialolith and adenoid cystic carcinoma in the submandibular gland: a rare case

2011

Salivary calculi occur most frequently in the submandibular gland of the human beings. It is because of the specific anatomy of both the glands and its duct. Presentation typically consists of a painful swelling of the gland at meal times, when the effect of obstruction is most acute. The clinical signs, in most of times, can lead us to the diagnosis easily. The coexistence of sialolith and malignant tumors are very rare. This case report is about a male patient of 45 year with a swelling in the submandibular region for the last eighteen months with an intermittent episode of moderate to severe pain which increased during a mealtime and diagnosed as sialolith on radiograph, but on biopsy pr…

Moderate to severePathologymedicine.medical_specialtymedicine.diagnostic_testAdenoid cystic carcinomabusiness.industrySalivary calculusOdontología:CIENCIAS MÉDICAS [UNESCO]medicine.diseaseSubmandibular glandCiencias de la saludstomatognathic diseasesmedicine.anatomical_structurestomatognathic systemMale patientRare caseBiopsyUNESCO::CIENCIAS MÉDICASmedicineRadiologybusinessGeneral DentistryDuct (anatomy)
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Real-time 6-DOF Vessel-to-Vessel Motion Compensation using laser tracker

2017

The industry state-of-the-art offshore motion compensation is today carried out by offshore cranes equipped with Active Heave Compensation (AHC) systems, meaning that a hanging load is positioned at a certain height above the seafloor, even though the floating vessel carrying both the crane and the load is moving due to wave disturbances. Lately, there has been an increased interest among the industry also to compensate for the movement of a secondary vessel, which indicates that a more detailed investigation of the Vessel-to-Vessel Motion Compensation (VVMC) problem is required. The primary motivation for such compensation technique is influenced by the demand for load transfer between shi…

Motion compensationEngineeringWind powerPosition (vector)business.industryLaser trackerOrientation (computer vision)Submarine pipelineActive heave compensationbusinessSimulationCompensation (engineering)OCEANS 2017 - Aberdeen
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