Results 151 to 160 of about 1,083,966 (327)
Rigidity of noncompact complete manifolds with harmonic curvature [PDF]
arXiv, 2009 Let $(M,g)$ be a noncompact complete $n$-manifold with harmonic curvature and positive Sobolev constant. Assume that $L_2$ norms of Weyl curvature and traceless Ricci curvature are finite. We prove that $(M,g)$ is Einstein if $n \ge 5$ and $L_{n/2}$ norms of Weyl curvature and traceless Ricci curvature are small enough.
arxiv
Multi‐omics profiling reveals key factors involved in Ewing sarcoma metastasis
Molecular Oncology, EarlyView.Using a mouse model that recapitulates the spread of tumor cells within the body, we have profiled paired tumors and metastasis samples using a multiomics approach combining different layers of biological information. We identified key genes that drive metastasis in Ewing sarcoma.
Mariona Chicón‐Bosch +11 more
wiley +1 more source
Nonnegative Curvature on Piecewise Constant Curvature Spaces [PDF]
Transactions of the American Mathematical Society, 1992 We consider piecewise flat and piecewise spherical spaces. We prove that every piecewise flat cobordism which is a product near the boundary and has nonnegative curvature must be trivial in the metric sense. We also obtain several restrictions for piecewise p p -spherical manifolds with nonnegative curvature and diameter equal to
openaire +2 more sources
Scalar curvature, isoperimetric collapse and General Relativity in the Constant Mean Curvature gauge [PDF]
arXiv, 2010 We discuss a set of relations, set in the form of results, conjectures and problems, between the L^{2}-norm of the Ricci curvature of a 3-manifold, the scalar curvature and the volume radius. We illustrate the scope of these relations with potential applications to the Einstein Constant Mean Curvature flow (or GR seen as a geometric flow of constant ...
arxiv
Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer
Molecular Oncology, EarlyView.This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu +7 more
wiley +1 more source
Al-Khawarizmi Engineering Journal, 2013 In the current research, the work concentrated on studying the effect of curvature of solar parabolic trough solar collector on wind loading coefficients and dynamic response of solar collector.
Khalid Hameed Hussein +1 more
doaj
RACHILYSIS: A METHOD OF TREATING THE SEVERER FORMS OF LATERAL CURVATURE. [PDF]
, 1889 Richard Barwell
openalex +1 more source
Minimal hypersurfaces in $\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature are totally geodesic [PDF]
arXivWe show that a closed minimal hypersurface in $\mathbb{S}^5$ with constant scalar curvature and zero Gauss curvature is totally geodesic.
arxiv
On the extension of axially symmetric volume flow and mean curvature flow [PDF]
arXiv, 2013 We study the provenance of singularity formation under mean curvature flow and volume preserving mean curvature flow in an axially symmetric setting. We prove that if the mean curvature is uniformly bounded on any finite time interval, then no singularities can develop during that time under both mean curvature flow and volume preserving mean curvature
arxiv