Results 181 to 190 of about 2,005,987 (380)
Curved Casimir Operators and the BGG Machinery
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries.
Andreas Cap, Vladimír Soucek
doaj
On the existence of equivariant embeddings of principal bundles into vector bundles [PDF]
, 1983 Vagn Lundsgaard Hansen +1 more
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Coincidence points of principal bundles
Topology and its Applications, 1992 AbstractLet p: E→B be a principal G-bundle where G is a compact connected Lie group, p′:E′→B′ be a fibre bundle and f,g:E′→E be fibre-preserving maps over a map h:B′→B. If the Lefschetz number for the restriction of f and g on a fibre is not zero, we give the number of nonempty Nielsen classes over h for f and g as well as the topological dimension of ...
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Transcriptome‐wide analysis of circRNA and RBP profiles and their molecular relevance for GBM
Molecular Oncology, EarlyView.CircRNAs are differentially expressed in glioblastoma primary tumors and might serve as therapeutic targets and diagnostic markers. The investigation of circRNA and RNA‐binding proteins (RBPs) interactions shows that distinct RBPs play a role in circRNA biogenesis and function.
Julia Latowska‐Łysiak +14 more
wiley +1 more source
Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Open Mathematics, 2014 Biswas Indranil, Teleman Andrei
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Infinitesimally natural principal bundles
Journal of Geometric Mechanics, 2016 We extend the notion of a natural fibre bundle by requiring diffeomorphisms of the base to lift to automorphisms of the bundle only infinitesimally, i.e. at the level of the Lie algebra of vector fields. We classify the principal fibre bundles with this property.
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Molecular Oncology, EarlyView.Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka +10 more
wiley +1 more source
On grobal hypoellipticity of horizontal Laplacians on compact principal bundles [PDF]
, 1991 Hideki Omori
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Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
wiley +1 more source
A potential biomarker of cognitive impairment: The olfactory dysfunction and its genes expression
Annals of Clinical and Translational Neurology, Volume 9, Issue 12, Page 1884-1897, December 2022., 2022 Abstract Objective Accumulation evidence has reported that olfactory impairment may be an essential clinical marker and predictor of mild cognitive impairment or Alzheimer's disease. Method Participants were enrolled in the population‐based, prospective study in Fuxin county, Liaoning province, China between 2019 and 2021.
Jiayi Song +11 more
wiley +1 more source