Results 111 to 120 of about 292,024 (345)

Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
We establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold ...
Dae Won Yoon
doaj   +1 more source

Mean Curvature Driven Ricci Flow [PDF]

open access: yesarXiv, 2009
We obtain the evolution equations for the Riemann tensor, the Ricci tensor and the scalar curvature induced by the mean curvature flow. The evolution for the scalar curvature is similar to the Ricci flow, however, negative, rather than positive, curvature is preserved. Our results are valid in any dimension.
arxiv  

Integration of single‐cell and bulk RNA‐sequencing data reveals the prognostic potential of epithelial gene markers for prostate cancer

open access: yesMolecular Oncology, EarlyView.
Prostate cancer is a leading malignancy with significant clinical heterogeneity in men. An 11‐gene signature derived from dysregulated epithelial cell markers effectively predicted biochemical recurrence‐free survival in patients who underwent radical surgery or radiotherapy.
Zhuofan Mou, Lorna W. Harries
wiley   +1 more source

A geometric formulation of Higgs Effective Field Theory: Measuring the curvature of scalar field space

open access: yesPhysics Letters B, 2016
A geometric formulation of Higgs Effective Field Theory (HEFT) is presented. Experimental observables are given in terms of geometric invariants of the scalar sigma model sector such as the curvature of the scalar field manifold M.
Rodrigo Alonso   +2 more
doaj   +1 more source

Multiplex single‐cell profiling of putative cancer stem cell markers ALDH1, SOX9, SOX2, CD44, CD133 and CD15 in endometrial cancer

open access: yesMolecular Oncology, EarlyView.
Cancer stem cells are associated with aggressive disease, but a deep characterization of such markers is lacking in endometrial cancer. This study uses imaging mass cytometry to explore putative cancer stem cell markers in endometrial tumors and corresponding organoid models.
Hilde E. Lien   +7 more
wiley   +1 more source

Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three [PDF]

open access: yesarXiv, 2019
We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in dimension three. The method is motivated by the integral method of Warren and Yuan. The new observation here is that the "Lagrangian" submanifold constructed similarly as Harvey and Lawson has bounded mean curvature if the graph function of a ...
arxiv  

Stroma gene signature predicts responsiveness to chemotherapy in pancreatic ductal adenocarcinoma patient‐derived xenograft models

open access: yesMolecular Oncology, EarlyView.
Pancreatic ductal adenocarcinoma patient‐derived xenografts (PDAC‐PDXs) engrafted orthotopically in the pancreas of immunodeficient mice retain the main genetic and histopathological characteristics of the original human tumors. A 294 stroma gene signature differentiates between PDAC‐PDXs that are responsive to gemcitabine plus nab‐paclitaxel versus ...
Alessia Anastasia   +13 more
wiley   +1 more source

Thermodynamic geometry of holographic superconductors

open access: yesPhysics Letters B, 2016
We obtain the thermodynamic geometry of a (2+1) dimensional strongly coupled quantum field theory at a finite temperature in a holographic setup, through the gauge/gravity correspondence.
Sayan Basak   +3 more
doaj   +1 more source

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