Results 41 to 50 of about 214,301 (272)
The Gauss Map and Nonholomorphic Harmonic Maps [PDF]
Proceedings of the American Mathematical Society, 1983 J. Eells and J. C. Wood [2] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for holomorphic immersions of Kaehler manifolds to complex projective ...
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Molecular Oncology, EarlyView.Nanosecond infrared laser (NIRL) low‐volume sampling combined with shotgun lipidomics uncovers distinct lipidome alterations in oropharyngeal squamous cell carcinoma (OPSCC) of the palatine tonsil. Several lipid species consistently differentiate tumor from healthy tissue, highlighting their potential as diagnostic markers.
Leonard Kerkhoff +11 more
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On the existence of degenerate solutions of the two-dimensional $H$-system
Comptes Rendus. MathématiqueWe consider entire solutions $\omega \in \dot{H}^1(\mathbb{R}^2;\mathbb{R}^3)$ of the $H$-system \begin{equation*} \Delta \omega =2\omega _x\wedge \omega _y\, \end{equation*} which we refer to as bubbles.
Guerra, André +2 more
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
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On the Generalized of p-harmonic Maps
International Electronic Journal of Geometry, 2022 In this paper, we extend the definition of p-harmonic and p-biharmonic maps between Riemannian manifolds. We present some new properties for the generalized stable p-harmonic maps.
Merdji, Bouchra, Cherif, Ahmed Mohammed
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Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining
Molecular Oncology, EarlyView.IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis +3 more
wiley +1 more source
Another proof of the regularity of harmonic maps from a Riemannian manifold to the unit sphere
Electronic Journal of Differential Equations, 2014 We shall consider harmonic maps from $n$-dimensional compact connected Riemannian manifold with boundary to the unit sphere under the Dirichlet boundary condition. We claim that if the Dirichlet data is smooth and so-called "small", all minimizers of
Junichi Aramaki
doaj
Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
FEBS Open Bio, EarlyView.Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj +3 more
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Conformal Maps, Biharmonic Maps, and the Warped Product
Mathematics, 2016 In this paper we study some properties of conformal maps between equidimensional manifolds, we construct new example of non-harmonic biharmonic maps and we characterize the biharmonicity of some maps on the warped product manifolds.
Seddik Ouakkas, Djelloul Djebbouri
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A general comparison theorem for $p$-harmonic maps in homotopy class [PDF]
, 2010 We prove a general comparison result for homotopic finite $p$-energy $C^{1}$ $p$-harmonic maps $u,v:M\to N$ between Riemannian manifolds, assuming that $M$ is $p$-parabolic and $N$ is complete and non-positively curved.
Veronelli, Giona
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