Results 81 to 90 of about 1,771,776 (376)

On sectional curvatures of a Weyl manifold

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 2006
In this paper, it is proved that if, at each point of a Weyl manifold, the sectional curvature is independent of the plane chosen, then the Weyl manifold is locally conformal to an Einstein manifold and that the scalar curvature of the Weyl manifold is prolonged covariant constant.
openaire   +4 more sources

The solution supramolecular structure of α2 → 8 polysialic acid suggests a structural cause for its low immunogenicity

open access: yesFEBS Letters, EarlyView.
α2 → 8 polysialic acid elicits poor immunogenicity. Small‐angle scattering shows a supramolecular structure with parallel‐chain binding, although in different forms at μm and mm calcium. The major histocompatibility complex requires molecular weights around 2000 Da to produce antibodies, and 2000 Da polysialic oligomers will bind in these structures ...
Kenneth A. Rubinson
wiley   +1 more source

Finsler manifolds with Positive Weighted Flag Curvature [PDF]

open access: yesarXiv, 2023
The flag curvature is a natural extension of the sectional curvature in Riemannian geometry. However there are many non-Riemannian quantities which interact the flag curvature. In this paper, we introduce a notion of weighted flag curvature by modifying the flag curvature with the non-Riemannian quantity, T-curvature. We show that a proper open forward
arxiv  

K\"ahler manifolds of semi-negative holomorphic sectional curvature [PDF]

open access: yes, 2014
In an earlier work, we investigated some consequences of the existence of a K\"ahler metric of negative holomorphic sectional curvature on a projective manifold. In the present work, we extend our results to the case of semi-negative (i.e., non-positive)
Gordon Heier, Steven Lu, B. Wong
semanticscholar   +1 more source

Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients

open access: yesMolecular Oncology, EarlyView.
Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha   +6 more
wiley   +1 more source

On sectional and bisectional curvature of the H-umbilical submanifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Let M be an H-umbilical submanifold of an almost Hermitian manifold M˜. Some relations expressing the difference of bisectional and of sectional curvatures of M˜ and of M are obtained.
S. Ianus, G. B. Rizza
doaj   +1 more source

The sectional curvature remains positive when taking quotients by certain nonfree actions

open access: yes, 2014
We study some cases when the sectional curvature remains positive under the taking of quotients by certain nonfree isometric actions of Lie groups. We consider the actions of the groups $S^1$ and $S^3$ such that the quotient space can be endowed with a ...
A. Besse   +7 more
core   +1 more source

Hermitian manifolds with semi-positive holomorphic sectional curvature [PDF]

open access: yes, 2014
We prove that a compact Hermitian manifold with semi-positive but not identically zero holomorphic sectional curvature has Kodaira dimension $-\infty$.
Xiaokui Yang
semanticscholar   +1 more source

Cell‐free and extracellular vesicle microRNAs with clinical utility for solid tumors

open access: yesMolecular Oncology, EarlyView.
Cell‐free microRNAs (cfmiRs) are small‐RNA circulating molecules detectable in almost all body biofluids. Innovative technologies have improved the application of cfmiRs to oncology, with a focus on clinical needs for different solid tumors, but with emphasis on diagnosis, prognosis, cancer recurrence, as well as treatment monitoring.
Yoshinori Hayashi   +6 more
wiley   +1 more source

Lie algebras whose Lie groups have negative sectional curvature

open access: yesRevista Integración, 2022
The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the ...
Gil Salgado
doaj  

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