Results 71 to 80 of about 292,639 (308)
Lietuvos Matematikos RinkinysIn this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
doaj +1 more source
Double Principal Bundles [PDF]
Journal of Geometry and Physics, 170 (2021), 104354, 2016 We define double principal bundles (DPBs), for which the frame bundle of a double vector bundle, double Lie groups and double homogeneous spaces are basic examples. It is shown that a double vector bundle can be realized as the associated bundle of its frame bundle. Also dual structures, gauge transformations and connections in DPBs are investigated.
arxiv +1 more source
Molecular Oncology, EarlyView.This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke +12 more
wiley +1 more source
Pseudo-Sasakian manifolds endowed with a contact conformal connection
International Journal of Mathematics and Mathematical Sciences, 1986 Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined.
Vladislav V. Goldberg, Radu Rosca
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Equivariant holonomy of U(1)-bundles
, 2019 We define the equivariant holonomy of an invariant connection on a principal U(1)-bundle. The properties of the ordinary holonomy are generalized to the equivariant setting.
Perez, Roberto Ferreiro
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Molecular Oncology, EarlyView.The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu +3 more
wiley +1 more source
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
Defining the mobility range of a hinge-type connection using molecular dynamics and metadynamics.
PLoS ONE, 2020 A designed disulfide-rich β-hairpin peptide that dimerizes spontaneously served as a hinge-type connection between proteins. Here, we analyze the range of dynamics of this hinge dimer with the aim of proposing new applications for the DNA-encodable ...
Philip Horx, Armin Geyer
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Locally trivial quantum vector bundles and associated vector bundles [PDF]
arXiv, 2000 We define locally trivial quantum vector bundles (QVB) and QVB associated to locally trivial quantum principal fibre bundles. There exists a differential structure on the associated vector bundle coming from the differential structure on the principal bundle, which allows to define connections on the associated vector bundle associated to connections ...
arxiv
Coupled equations for Kähler metrics and Yang-Mills connections
, 2013 We study equations on a principal bundle over a compact complex manifold coupling a connection on the bundle with a Kahler structure on the base. These equations generalize the conditions of constant scalar curvature for a Kahler metric and Hermite-Yang ...
Garcia-Fernandez, M. +2 more
core +2 more sources