Combinatorial Yamabe Flow on Surfaces [PDF]
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
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Yamabe flow and metrics of constant scalar curvature on a complete manifold [PDF]
Li Ma
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FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE YAMABE FLOW
. 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
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Infinite-time blowing-up solutions to small perturbations of the Yamabe flow [PDF]
Seunghye Kim, M. Musso
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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]
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
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Inflammatory Markers in Combination With Multiple Patterns of Extrarenal Extension Accurately Indicate Recurrence Risk in Patients With pT3aN0M0 Clear Cell Renal Cell Carcinoma. [PDF]
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
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Eigenvalues variation of the p-Laplacian under the Yamabe flow
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
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Yamabe flow with prescribed scalar curvature [PDF]
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
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