Results 91 to 100 of about 681,612 (344)

Higher-order modified Starobinsky inflation

, 2019
An extension of the Starobinsky model is proposed. Besides the usual Starobinsky Lagrangian, a term proportional to the derivative of the scalar curvature, $\nabla_{\mu}R\nabla^{\mu}R$, is considered.
Cuzinatto, R. R., Medeiros, L. G., Pompeia, P. J.   +2 more
core   +1 more source

Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem

Electronic Journal of Differential Equations, 2000
We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
doaj  

Massive scalar clouds and black hole spacetimes in Gauss-Bonnet gravity

SciPost Physics Core
We study static black holes in scalar-Gauss-Bonnet (sGB) gravity with a massive scalar field as an example of higher curvature gravity. The scalar mass introduces an additional scale and leads to a strong suppression of the scalar field beyond its ...
Iris van Gemeren, Tanja Hinderer, Stefan Vandoren
doaj   +1 more source

Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection [PDF]

Arab Journal of Mathematical Sciences
Purpose – In 1979, P. Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean 4-space with the equality holding if and only if the curvature ...
Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui   +2 more
doaj   +1 more source

Comparing self‐reported race and genetic ancestry for identifying potential differentially methylated sites in endometrial cancer: insights from African ancestry proportions using machine learning models

Molecular Oncology, EarlyView.
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

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Asymptotic silence-breaking singularities

, 2006
We discuss three complementary aspects of scalar curvature singularities: asymptotic causal properties, asymptotic Ricci and Weyl curvature, and asymptotic spatial properties.
Andersson L, Barrow J D, Claes Uggla, Ellis G F R, Goode S W, Hawking S W, John Wainwright, Lim W C, Röhr N, Senovilla J M M, Senovilla J M M, van Elst H, Wainwright J, Wainwright J, Wainwright J, Wainwright J, Wainwright J, Woei Chet Lim   +17 more
core   +3 more sources

Hyperbolic inflationary model with nonzero curvature

Physics Letters B, 2022
We consider a cosmological model consisting of two scalar fields defined in the hyperbolic plane known as hyperbolic inflation. For the background space, we consider a homogeneous and isotropic spacetime with nonzero curvature.
Andronikos Paliathanasis, Genly Leon
doaj   +1 more source

Biharmonic hypersurfaces with constant scalar curvature in space forms [PDF]

, 2016
Let $M^n$ be a biharmonic hypersurface with constant scalar curvature in a space form $\mathbb M^{n+1}(c)$. We show that $M^n$ has constant mean curvature if $c>0$ and $M^n$ is minimal if $c\leq0$, provided that the number of distinct principal ...
Yu Fu, Minhao Hong
semanticscholar   +1 more source

ShcD adaptor protein drives invasion of triple negative breast cancer cells by aberrant activation of EGFR signaling

Molecular Oncology, EarlyView.
We identified adaptor protein ShcD as upregulated in triple‐negative breast cancer and found its expression to be correlated with reduced patient survival and increased invasion in cell models. Using a proteomic screen, we identified novel ShcD binding partners involved in EGFR signaling pathways.
Hayley R. Lau, Hayley S. Smith, Begüm Alural, Claire E. Martin, Laura A. New, Manali Tilak, Sara L. Banerjee, Hannah N. Robeson, Nicolas Bisson, Anne‐Claude Gingras, Jasmin Lalonde, Nina Jones   +11 more
wiley   +1 more source