Results 101 to 110 of about 681,612 (344)

On a type of spacetime [PDF]

Mathematica Moravica, 2014
The object of the present paper is to study a special type of spacetime. It is proved that in a conformally flat (W RS)4 spacetime with non-zero scalar curvature the vector field p defined by ɡ(X, p) = E(X) is irrotational and the integral curves of the ...
Mallick Sahanous, Chand De Uday
doaj  

The local moduli of Sasakian 3-manifolds

International Journal of Mathematics and Mathematical Sciences, 2002
The Newman-Penrose-Perjes formalism is applied to Sasakian 3-manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given ...
Brendan S. Guilfoyle
doaj   +1 more source

Targeting the AKT/mTOR pathway attenuates the metastatic potential of colorectal carcinoma circulating tumor cells in a murine xenotransplantation model

Molecular Oncology, EarlyView.
Dual targeting of AKT and mTOR using MK2206 and RAD001 reduces tumor burden in an intracardiac colon cancer circulating tumor cell xenotransplantation model. Analysis of AKT isoform‐specific knockdowns in CTC‐MCC‐41 reveals differentially regulated proteins and phospho‐proteins by liquid chromatography coupled mass spectrometry. Circulating tumor cells
Daniel J. Smit, Thais Pereira‐Veiga, Helena Brauer, Michael Horn, Paula Nissen, Thomas Mair, Bente Siebels, Hannah Voß, Ruimeng Zhuang, Marie‐Therese Haider, Desiree Loreth, Margarita Iskhakova, Bele Lindemann, Julian Kött, Laure Cayrefourcq, Jasmin Wellbrock, Hartmut Schlüter, Klaus Pantel, Catherine Alix‐Panabières, Manfred Jücker   +19 more
wiley   +1 more source

Submanifolds with constant scalar curvature [PDF]

Kodai Mathematical Journal, 2004
Let \(M^n\) be a compact submanifold of \(S^{n+p}(c)\) with constant scalar curvature. In this paper, we prove that if the squared norm \(S\) of the second fundamental form satisfies a certain inequality, then \(M^n\) is a totally umbilic or equality holds and we described all \(M^n\) that satisfy this equality.
openaire   +3 more sources

Aberrant expression of nuclear prothymosin α contributes to epithelial‐mesenchymal transition in lung cancer

Molecular Oncology, EarlyView.
Nuclear prothymosin α inhibits epithelial‐mesenchymal transition (EMT) in lung cancer by increasing Smad7 acetylation and competing with Smad2 for binding to SNAI1, TWIST1, and ZEB1 promoters. In early‐stage cancer, ProT suppresses TGF‐β‐induced EMT, while its loss in the nucleus in late‐stage cancer leads to enhanced EMT and poor prognosis.
Liyun Chen, Chung‐Teng Wang, Jia‐Ming Chang, Ai‐Li Shiau, Gia‐Shing Shieh, Yau‐Lin Tseng, Yi‐Ting Yen, Tang‐Hsiu Huang, Li‐Hsin Cheng, Yu‐Chih Wu, Chao‐Liang Wu, Bing‐Hua Su, Pensee Wu   +12 more
wiley   +1 more source

Hypersurfaces with constant scalar curvature

Mathematische Annalen, 1977
Let M be a complete two-dimensional surface immersed into the three-dimensional Euclidean space. Then a classical theorem of Hilbert says that when the curvature of M is a non-zero constant, M must be the sphere. On the other hand, when the curvature of M is zero, a theorem of Har tman-Nirenberg [4] says that M must be a plane or a cylinder.
Cheng, S.Y., Yau, S.T.
openaire   +4 more sources

Scalar curvature and the Thurston norm [PDF]

Mathematical Research Letters, 1997
Let \(Y\) be a closed oriented 3-manifold with \(b_1(Y)\neq 0\), and suppose that \(Y\) contains no non-separating 2-spheres or tori. For such a \(Y\), the dual Thurston norm can be defined on \(H^2 (Y;\mathbb{R})\) by the formula \[ | \alpha| =\sup_\Sigma \bigl\langle \alpha, [\Sigma] \bigr\rangle/ \bigl(2g (\Sigma)- 2\bigr), \] the supremum being ...
Tomasz S. Mrowka, Peter Kronheimer
openaire   +3 more sources

Detecting homologous recombination deficiency for breast cancer through integrative analysis of genomic data

Molecular Oncology, EarlyView.
This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu, Katherine Eason, Suet‐Feung Chin, Paul A. W. Edwards, Raquel Manzano Garcia, Richard Moulange, Jia Wern Pan, Soo Hwang Teo, Sach Mukherjee, Maurizio Callari, Carlos Caldas, Stephen‐John Sammut, Oscar M. Rueda   +12 more
wiley   +1 more source

Renormalising the field-space geometry

Journal of High Energy Physics
We present a systematic study of one-loop quantum corrections in scalar effective field theories from a geometric viewpoint, emphasizing the role of field-space curvature and its renormalisation.
Patrick Aigner, Luigi Bellafronte, Emanuele Gendy, Dominik Haslehner, Andreas Weiler   +4 more
doaj   +1 more source

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

پژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
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