Results 71 to 80 of about 36,303 (306)
Connection theory on differentiable fibre bundles: A concise introduction
International Journal of Mathematics and Mathematical Sciences, 2006 The paper contains a partial review on the general connection theory on differentiable fibre bundles. Particular attention is paid on (linear) connections on vector bundles.
Bozhidar Z. Iliev
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On the prolongations of homogeneous vector bundles
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2016 In this paper, we introduce a study of prolongations of homogeneous vector bundles. We give an alternative approach for the prolongation. For a given homogeneous vector bundle E, we obtain a new homogeneous vector bundle. The homogeneous structure and its corresponding representation are derived.
openaire +4 more sources
Molecular Oncology, EarlyView.CIN85 is highly expressed in osteosarcoma, particularly in metastatic lesions. Its overexpression increases cell migration and Matrigel invasion, while silencing CIN85 suppresses these behaviors. Transcriptome analysis shows that CIN85 regulates MMP2, COL3A1, and Akt/mTOR signaling. Targeting these pathways reverses CIN85‐induced motility, highlighting
Iryna Horak +10 more
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, 1998 In this study, the structure of extended vector bundles has been obtained, especially the canonical extended vector bundle ?k of order k of any vector bundle ?=(E,?,M).
Civelek, Şevket
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Finding novel vulnerabilities of hypomorphic BRCA1 alleles
Molecular Oncology, EarlyView.Synthetic lethality screens performed to identify novel vulnerabilities often model complete gene loss, thereby overlooking patient‐derived hypomorphic mutations. In this study, we have performed genome‐wide CRISPR screens on BRCA1 hypomorphic mutations, showing BRCA1I26A behaves like wild‐type, while BRCA1R1699Q mimics deficiency. Furthermore, we have
Anne Schreuder +10 more
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Equivariant semialgebraic vector bundles
, 2002 Let G be a compact semialgebraic group. We prove that any semialgebraic G-vector bundle over a semialgebraic G-set has a semialgebraic classifying G-map.
Choi, Myung-Jun +2 more
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Vector bundles and regulous maps [PDF]
, 2013 Let X be a compact nonsingular affine real algebraic variety. We prove that every pre-algebraic vector bundle on X becomes algebraic after finitely many blowing ups.
Bilski, Marcin +7 more
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MITF maintains genome stability in nonmelanocyte lineages
Molecular Oncology, EarlyView.MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir +13 more
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Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization
Molecular Oncology, EarlyView.In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu +13 more
wiley +1 more source
Higher order jet prolongations type gauge natural bundles over vector bundles
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 Let $rgeq 3$ and $mgeq 2$ be natural numbers and $E$ be a vector bundle with $m$-dimensional basis. We find all gauge natural bundles ``similar" to the $r$-jet prolongation bundle $J^rE$ of $E$.
Jan Kurek, Włodzimierz M. Mikulski
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