Results 1 to 10 of about 7,365 (138)

Discrete Yamabe Problem for Polyhedral Surfaces. [PDF]

Discrete Comput Geom, 2023
AbstractWe study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity.
Dal Poz Kouřimská H.
europepmc   +4 more sources

Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications [PDF]

Heliyon, 2019
In this paper local and global gradient estimates are obtained for positive solutions to the following nonlinear elliptic equationΔfu+p(x)u+q(x)uα=0, on complete smooth metric measure spaces (MN,g,e−fdv) with ∞-Bakry-Émery Ricci tensor bounded from below,
Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate   +2 more
doaj   +2 more sources

A clinical model for highly accurate prediction of blood glucose depression after continuous intravenous insulin therapy in hyperglycemic emergencies, a multicenter retrospective cohort study. [PDF]

J Diabetes Investig
This study developed a clinical model using a gradient boosting decision tree (GBDT) to predict blood glucose reduction (ΔGlu) after continuous intravenous insulin therapy in hyperglycemic emergencies. A multicenter retrospective cohort analysis identified key predictive factors, including initial blood glucose, bicarbonate concentration, insulin flow ...
Iwamoto Y, Kimura T, Shimoda M, Morimoto Y, Dan K, Iwamoto H, Sanada J, Fushimi Y, Katakura Y, Isobe H, Tatsumi F, Kimura Y, Kawasaki F, Yamabe M, Matsuki M, Nakanishi S, Mune T, Kaku K, Kaneto H.   +18 more
europepmc   +2 more sources

Kodaira Dimension and the Yamabe Problem [PDF]

Communications in Analysis and Geometry, 1997
The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar curvature Riemannian metrics g on M.
LeBrun, Claude
core   +4 more sources

Metabolic Origin, Role and Fate of the Denaturant Guanidine. [PDF]

Microb Biotechnol
The origin of metabolic guanidine is largely a mystery. We suggest it is created when guanine‐containing nucleotides are oxidised by molecular oxygen instead of being broken down into urea as purines normally would. Guanidine may act as a signal to help cells control the level of reactive oxygen species.
Danchin A, de Lorenzo V, Nikel PI, You C.   +3 more
europepmc   +2 more sources

Current status of endoscopic ultrasound in the diagnosis of intraductal papillary mucinous neoplasms. [PDF]

DEN Open
Abstract The new Kyoto guidelines for the management of intraductal papillary mucinous neoplasm (IPMN) provide evidence‐based recommendations for the diagnosis and treatment of IPMN. Endoscopic ultrasonography (EUS) is a diagnostic modality with a high spatial resolution that allows detailed observation and obtaining cyst fluid or tissue samples via ...
Ohno E, Kuzuya T, Kawabe N, Nakaoka K, Tanaka H, Nakano T, Funasaka K, Miyahara R, Hashimoto S, Hirooka Y.   +9 more
europepmc   +2 more sources

The Yamabe problem on Dirichlet spaces [PDF]

, 2013
We continue our previous work studying critical exponent semilinear elliptic (and subelliptic) problems which generalize the classical Yamabe problem. In [3] the focus was on metric-measure spaces with an `almost smooth' structure, with stratified spaces
Gilles Carron, Kazuo Akutagawa, Rafe Mazzeo, Universite ́ De Nantes   +3 more
core   +2 more sources

A note on the Yamabe problem of Randers metrics [PDF]

AUT Journal of Mathematics and Computing, 2021
The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general.
Bin Chen, Siwei Liu
doaj   +1 more source

On the Chern–Yamabe problem [PDF]

Mathematical Research Letters, 2017
We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concerned in the existence of metrics with constant Chern scalar curvature.
ANGELLA, DANIELE, CALAMAI, SIMONE, Spotti, Cristiano   +2 more
openaire   +3 more sources

On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow

Analysis and Geometry in Metric Spaces, 2023
The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
doaj   +1 more source