Results 101 to 110 of about 292,024 (345)
Positive scalar curvature on foliations [PDF]
Annals of Mathematics, 2017 We generalize classical theorems due to Lichnerowicz and Hitchin on the existence of Riemannian metrics of positive scalar curvature on spin manifolds to the case of foliated spin manifolds. As a consequence, we show that there is no foliation of positive leafwise scalar curvature on any torus, which generalizes the famous theorem of Schoen-Yau and ...
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On the structure of linearization of the scalar curvature [PDF]
Tohoku Mathematical Journal, 2015 For a compact $n$-dimensional manifold a critical point metric of the total scalar curvature functional satisfies the critical point equation (1) below, if the functional is restricted to the space of constant scalar curvature metrics of unit volume. The right-hand side in this equation is nothing but the adjoint operator of the linearization of the ...
Yun, Gabjin +2 more
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Molecular Oncology, EarlyView.The authors conducted a retrospective study of 94 patients with advanced cancer who underwent next‐generation sequencing (NGS) gene panel analysis and received targeted treatments when applicable. Results further support evidence indicating that molecular profiling provides clinical benefit.
Michaël Dang +3 more
wiley +1 more source
Memory effects in Kundt wave spacetimes
Physics Letters B, 2020 Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form H2×M(1,1) and S2×M(1,1).
Indranil Chakraborty, Sayan Kar
doaj
Generalized disformal invariance of cosmological perturbations with second-order field derivatives
Physics Letters B, 2021 We investigate how the comoving curvature and tensor perturbations are transformed under the generalized disformal transformation with the second-order covariant derivatives of the scalar field, where the free functions depend on the fundamental elements
Masato Minamitsuji
doaj
Critical metrics of the $L^2$-norm of the scalar curvature [PDF]
Proc. Amer. Math. Soc.,142 (2014), 3981-3986, 2012 In this paper we investigate complete critical metrics of the $L^{2}$-norm of the scalar curvature. We prove that any complete critical metric with positive scalar curvature has constant scalar curvature and we characterize critical metrics with nonnegative scalar curvature in dimension three and four.
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
Molecular Oncology, EarlyView.Pancreatic ductal adenocarcinoma (PDAC) is a disease with very poor prognosis due to therapeutic limitations. We investigated the antitumor effects of cystatin A (CSTA) in PDAC murine models. We are first to confirm that CSTA enhances T helper type 1‐mediated antitumor effects through promotion of dendritic cells and M1 macrophage activity. CSTA can be
Alessandro Nasti +8 more
wiley +1 more source
On Sprays of Scalar Curvature and Metrizability
The Journal of Geometric Analysis, 2023 20 ...
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Molecular Oncology, EarlyView.FOXL2 c.402C>G mutation drives granulosa cell tumors. Using CRISPR technology, we selectively corrected this mutation, reducing malignancy and increasing sensitivity to dasatinib and ketoconazole. Transcriptomic changes revealed potential therapeutic targets, demonstrating CRISPR's promise for treating this rare ovarian cancer.
Sandra Amarilla‐Quintana +17 more
wiley +1 more source