Results 91 to 100 of about 703,577 (334)
A new type of canal surface in Euclidean 4-space E^4
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 Bu çalışmada, E^4 4-boyutlu Öklid uzayında, merkez eğrisinin paralel öteleme çatısı vektörleri yardımıyla tanımlanan kanal yüzeyini örneği ile verdik.
Günay Öztürk +2 more
doaj +1 more source
Constant Mean Curvature n-noids with Platonic Symmetries [PDF]
arXiv, 2007 Constant Mean Curvature n-noids with Platonic ...
arxiv
Mean Curvature Flow of Spacelike Graphs
, 2010 We prove the mean curvature flow of a spacelike graph in $(\Sigma_1\times \Sigma_2, g_1-g_2)$ of a map $f:\Sigma_1\to \Sigma_2$ from a closed Riemannian manifold $(\Sigma_1,g_1)$ with $Ricci_1> 0$ to a complete Riemannian manifold $(\Sigma_2,g_2)$ with ...
A.L. Albujer +25 more
core +1 more source
Molecular Oncology, EarlyView.We assessed the associations between the gut microbiota and outcome in metastatic triple‐negative breast cancer patients treated with chemotherapy alone or chemotherapy in combination with immunotherapy. Our data indicate that high gut microbiota alpha diversity was associated with improved clinical outcome and with benefit from immunotherapy.
Andreas Ullern +8 more
wiley +1 more source
Mean Curvature Driven Ricci Flow [PDF]
arXiv, 2009 We obtain the evolution equations for the Riemann tensor, the Ricci tensor and the scalar curvature induced by the mean curvature flow. The evolution for the scalar curvature is similar to the Ricci flow, however, negative, rather than positive, curvature is preserved. Our results are valid in any dimension.
arxiv
Nonexistence of NNSC fill-ins with large mean curvature [PDF]
arXiv, 2020 In this note we show that a closed Riemannian manifold does not admit a fill-in with nonnegative scalar curvature if the mean curvature is point-wise large. Similar result also holds for fill-ins with a negative scalar curvature lower bound.
arxiv
Mean curvature blow up in mean curvature flow
, 2009 In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.
openaire +2 more sources
Molecular Oncology, EarlyView.PIK3CA amplification and PIK3CA mutation enhance ovarian tumorigenicity through an activation of AKT, which phosphorylates YAP at Ser127. This Ser127 phosphorylation leads to the retention of YAP in the cytoplasm and triggers RAC1 activity, promoting cell migration. Additionally, AKT activation increases expression of N‐cadherin, which further enhances
Shibo Zhang +6 more
wiley +1 more source
Singular surfaces of revolution with prescribed unbounded mean curvature
Anais da Academia Brasileira de Ciências: We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using this mean curvature, we give conditions for certain types of singularities of those surfaces. Periodicity of that surface is also discussed.
MARTINS LUCIANA F. +3 more
doaj +1 more source
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature I [PDF]
Hiroshima Math. J. 34 (2004), 21-56, 2000 A complete surface of constant mean curvature 1 (CMC-1) in hyperbolic 3-space with constant curvature -1 has two natural notions of "total curvature"-- one is the total absolute curvature which is the integral over the surface of the absolute value of the Gaussian curvature, and the other is the dual total absolute curvature which is the total absolute
arxiv