Results 61 to 70 of about 1,470,963 (294)

On 4-Dimensional Lorentzian Manifolds with Pseudo W₂-Curvature Tensor in General Relativity

Axioms
The present paper is devoted to the study of Lorentzian spacetimes endowed with the pseudo W2-curvature tensor. We investigate the geometric and symmetry properties of pseudo W2-flat spacetimes and establish several results concerning their curvature ...
Laltluangkima Chawngthu, Rajesh Kumar, Oğuzhan Bahadır, Md Aquib   +3 more
doaj   +1 more source

A New Proof of a Conjecture on Nonpositive Ricci Curved Compact Kähler–Einstein Surfaces

Mathematics, 2018
In an earlier paper, we gave a proof of the conjecture of the pinching of the bisectional curvature mentioned in those two papers of Hong et al. of 1988 and 2011. Moreover, we proved that any compact Kähler–Einstein surface M is a quotient of the complex
Zhuang-Dan Daniel Guan
doaj   +1 more source

On sectional curvatures of a Weyl manifold

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2006
In [\textit{H. Pedersen} and \textit{K. P. Tod}, Adv. Math. 97, No. 1, 74--109 (1993; Zbl 0778.53041)], it is proved that if \(M\) is a compact positive-definite Einstein-Weyl manifold whose scalar curvature is everywhere strictly negative, then \(M\) is conformal to an Einstein manifold. In this paper, the author shows that if \(M\) is a Weyl manifold,
openaire   +4 more sources

The Chern Sectional Curvature of a Hermitian Manifold

, 2022
On a Hermitian manifold, the Chern connection can induce a metric connection on the background Riemannian manifold. We call the sectional curvature of the metric connection induced by the Chern connection the Chern sectional curvature of this Hermitian manifold.
Cao, Pandeng, Li, Hongjun
openaire   +3 more sources

An estimate of sectional curvatures of hypersurfaces with positive Ricci curvatures [PDF]

Proceedings of the Edinburgh Mathematical Society, 1995
Let M be a hypersurface in Euclidean space and let the Ricci curvature of M be bounded below by some nonnegative constant. In this paper, we estimate the sectional curvature of M in terms of the lower bound of Ricci curvature and the upper bound of mean curvature.
Kim, Ju Seon, Kim, Sang Og
openaire   +1 more source

KDM7A and KDM1A inhibition suppresses tumour promoting pathways in prostate cancer

Molecular Oncology, EarlyView.
Treatment resistance is a major challenge for patients with advanced prostate cancer. This study examined an alternative approach to target the major prostate cancer‐promoting pathway by targeting epigenetic factors, whose levels are higher in tumours.
Jennie N Jeyapalan, Veronika M Metzler, Simone de Brot, Corinne L Woodcock, Anna E Harris, Jennifer Lothion‐Roy, Emeli M Nilsson, Atara Ntekim, Michael S Toss, Jenny L Persson, Francesca Khani, Brian D Robinson, Lorraine J Gudas, Emad Rakha, David M Heery, Catrin S Rutland, Nigel P Mongan   +16 more
wiley   +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
doaj  

SYMMETRIES OF SECTIONAL CURVATURE ON 3-MANIFOLDS

Demonstratio Mathematica, 1995
The authors determine the possible symmetry groups for the sectional curvature \(K\) of a smooth 3-manifold with a Lorentzian metric tensor (giving complete details) and with a Riemannian metric tensor (omitting details). They study the existence of naturally reductive spaces in which the symmetry group of \(K\) is the same at every point.
Cordero, Luis A., Parker, Phillip E.
openaire   +2 more sources

Longitudinal circulating tumor DNA profiling in patients with advanced endometrial cancer using an off‐the‐shelf targeted NGS panel

Molecular Oncology, EarlyView.
Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena, Karin Teien Lande, Eva Diaz, Ana Vilar, Juan Cueva, Efigenia Arias, Victoria Sampayo, Alicia Abalo, Nerea González, Eva Colás, Antonio Gil‐Moreno, Miguel Abal, Gema Moreno‐Bueno, Therese Sørlie, Kristina Lindemann, Laura Muinelo‐Romay   +15 more
wiley   +1 more source

The Cross Curvature Flow of 3-manifolds with Negative Sectional Curvature

, 2003
We introduce a geometric evolution equation for 3-manifolds with sectional curvature of one sign which is in some sense dual to the Ricci flow. On a closed 3-manifold with negative sectional curvature, we establish short time existence and a pair of monotonicity formulas for solutions to the flow. One of these formulas shows that, provided the solution
Chow, Bennett, Hamilton, Richard S.
openaire   +3 more sources