Results 121 to 130 of about 292,024 (345)
Estimates and nonexistence of solutions of the scalar curvature equation on noncompact manifolds [PDF]
Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August
2005, pp. 309-318, 2005 This paper is to study the conformal scalar curvature equation on complete noncompact Riemannian manifold of nonpositive curvature. We derive some estimates and properties of supersolutions of the scalar curvature equation, and obtain some nonexistence results for complete solutions of scalar curvature equation.
arxiv
Deformation of the scalar curvature and the mean curvature
, 2020 On a compact manifold $M$ with boundary $\partial M$, we study the problem of prescribing the scalar curvature in $M$ and the mean curvature on the boundary $\partial M$ simultaneously. To do this, we introduce the notion of singular metric, which is inspired by the early work of Fischer-Marsden in [18] and Lin-Yuan in [23] for closed manifold. We show
Ho, Pak Tung, Huang, Yen-Chang
openaire +2 more sources
Peripheral blood proteome biomarkers distinguish immunosuppressive features of cancer progression
Molecular Oncology, EarlyView.Immune status significantly influences cancer progression. This study used plasma proteomics to analyze benign 67NR and malignant 4T1 breast tumor models at early and late tumor stages. Immune‐related proteins–osteopontin (Spp1), lactotransferrin (Ltf), calreticulin (Calr) and peroxiredoxin 2 (Prdx2)–were associated with systemic myeloid‐derived ...
Yeon Ji Park +6 more
wiley +1 more source
Measurement of the scalar curvature of high-power lasers. [PDF]
Sci Rep, 2022 Toma A, Postavaru O.
europepmc +1 more source
On gradient Ricci solitons with constant scalar curvature [PDF]
arXiv, 2014 We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which are all satisfied if the manifold is curvature homogeneous.
arxiv
Classification of acute myeloid leukemia based on multi‐omics and prognosis prediction value
Molecular Oncology, EarlyView.The Unsupervised AML Multi‐Omics Classification System (UAMOCS) integrates genomic, methylation, and transcriptomic data to categorize AML patients into three subtypes (UAMOCS1‐3). This classification reveals clinical relevance, highlighting immune and chromosomal characteristics, prognosis, and therapeutic vulnerabilities.
Yang Song +13 more
wiley +1 more source
Multiple sclerosis clinical decision support system based on projection to reference datasets
Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1863-1873, December 2022., 2022 Abstract Objective Multiple sclerosis (MS) is a multifactorial disease with increasingly complicated management. Our objective is to use on‐demand computational power to address the challenges of dynamically managing MS. Methods A phase 3 clinical trial data (NCT00906399) were used to contextualize the medication efficacy of peg‐interferon beta‐1a vs ...
Chadia Ed‐driouch +13 more
wiley +1 more source
A local singularity analysis for the Ricci flow and its applications to Ricci flows with bounded scalar curvature. [PDF]
Calc Var Partial Differ Equ, 2022 Buzano R, Di Matteo G.
europepmc +1 more source
Scalar curvature flow on S^n to a prescribed sign-changing function [PDF]
arXiv, 2017 In this paper, we consider the problem of prescribing scalar curvature on n-sphere. Assume that the candidate curvature function $f$, which is allowed to change sign, satisfies some kind of Morse index or symmetry condition. By studying the well-known scalar curvature flow, we are able to prove that the flow converges to a metric with the prescribed ...
arxiv
Scalar curvature and holomorphy potentials
Journal of Geometry and Physics, 2012 A holomorphy potential is a complex valued function whose complex gradient, with respect to some K hler metric, is a holomorphic vector field. Given $k$ holomorphic vector fields on a compact complex manifold, form, for a given K hler metric, a product of the following type: a function of the scalar curvature multiplied by functions of the holomorphy
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