Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]
Decu S, Vîlcu GE.
europepmc +1 more source
Almost Kähler manifolds of constant antiholomorphic sectional curvature [PDF]
It is proved that if an AK2-manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then it is a 6-dimensional manifold of constant negative sectional curvature or a K\"ahler manifold of constant holomorphic sectional curvature.
arxiv
On the Sectional Curvature of Holomorphic Curvature Operators [PDF]
Stanley M. Zoltek, Ignacio Guerrero
openaire +1 more source
Integrating ancestry, differential methylation analysis, and machine learning, we identified robust epigenetic signature genes (ESGs) and Core‐ESGs in Black and White women with endometrial cancer. Core‐ESGs (namely APOBEC1 and PLEKHG5) methylation levels were significantly associated with survival, with tumors from high African ancestry (THA) showing ...
Huma Asif, J. Julie Kim
wiley +1 more source
Vascular endothelial‐cadherin as a marker of endothelial injury in preclinical Alzheimer disease
Abstract Objective Endothelial dysfunction is an early and prevalent pathology in Alzheimer disease (AD). We here investigate the value of vascular endothelial‐cadherin (VEC) as a cerebrospinal fluid (CSF) marker of endothelial injury in preclinical AD.
Rawan Tarawneh+5 more
wiley +1 more source
Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space
In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are calculated and in these regards ...
MAHMUT AKYIG١IT+2 more
doaj
Positive Complex Sectional Curvature, Ricci Flow and the Differential Sphere Theorem [PDF]
The paper provides a different proof of the result of Brendle-Schoen on the differential sphere theorem. It is shown directly that the invariant cone of curvature operators with positive (or non-negative) complex sectional curvature is preserved by the Ricci flow.
arxiv
On projectivized vector bundles and positive holomorphic sectional curvature
We generalize a construction of Hitchin to prove that, given any compact K\"ahler manifold $M$ with positive holomorphic sectional curvature and any holomorphic vector bundle $E$ over $M$, the projectivized vector bundle ${\mathbb P}(E)$ admits a K ...
Alvarez, Angelynn+2 more
core
TGF‐β has a complex role in cancer, exhibiting both tumor‐suppressive and tumor‐promoting properties. Using a series of differentiated tumoroids, derived from different stages and mutational background of colorectal cancer patients, we replicate this duality of TGF‐β in vitro. Notably, the atypical but highly aggressive KRASQ22K mutation rendered early‐
Theresia Mair+17 more
wiley +1 more source
Brain magnetic resonance imaging predictors in anti‐N‐methyl‐D‐aspartate receptor encephalitis
Abstract Objective Brain magnetic resonance imaging (MRI) findings in anti‐N‐methyl‐D‐aspartate receptor (NMDAR) encephalitis are nonspecific and rarely have obvious associations with clinical characteristics and outcomes. This study aimed to comprehensively describe the MRI features of patients with NMDAR encephalitis, examine their associations with ...
Ying‐Ying Zhao+8 more
wiley +1 more source