Results 21 to 30 of about 4,567,624 (190)

Combinatorial Yamabe Flow on Surfaces [PDF]

open access: greenCommunications in Contemporary Mathematics, 2003
In this paper we develop an approach to conformal geometry of piecewise flat metrics on manifolds. In particular, we formulate the combinatorial Yamabe problem for piecewise flat metrics. In the case of surfaces, we define the combinatorial Yamabe flow on the space of all piecewise flat metrics associated to a triangulated surface.
Feng Luo
openalex   +5 more sources

FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE YAMABE FLOW

open access: diamond, 2016
. Let ( M,g ( t )) be a compact Riemannian manifold and the metric g ( t ) evolve by the Yamabe flow. In the paper we derive the evolution for the first eigenvalue of geometric operator − ∆ φ + R 2 under the Yamabe flow, where ∆ φ is the Witten-Laplacian ...
Shouwen Fang, Fei Yang
semanticscholar   +3 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]

open access: yesJ 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   +18 more
europepmc   +2 more sources

Inflammatory Markers in Combination With Multiple Patterns of Extrarenal Extension Accurately Indicate Recurrence Risk in Patients With pT3aN0M0 Clear Cell Renal Cell Carcinoma. [PDF]

open access: yesCancer Rep (Hoboken)
ABSTRACT Background and Aims A clear understanding of the risk of clear cell renal cell carcinoma (ccRCC) recurrence in individual patients is essential for appropriate administration of adjuvant therapy. Notably, non‐metastatic pT3a ccRCCs are heterogeneous, and affected patients will have a different prognosis depending on the pathological definition.
Uetani M   +8 more
europepmc   +2 more sources

Eigenvalues variation of the p-Laplacian under the Yamabe flow

open access: hybrid, 2016
The problem of geometric flow and determining the eigenvalues for nonlinear operators acting on finite-dimensional manifolds is a known problem. In this paper we will consider the eigenvalue problem for the p-Laplace operator acting on the space of ...
S. Azami
semanticscholar   +2 more sources

Yamabe flow with prescribed scalar curvature [PDF]

open access: greenPacific Journal of Mathematics, 2018
In this work, we study the Yamabe flow corresponding to the prescribed scalar curvature problem on compact Riemannian manifolds with negative scalar curvature. The long time existence and convergence of the flow are proved under appropriate conditions on the prescribed scalar curvature function.
Inas Amacha, Rachid Regbaoui
openalex   +5 more sources

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