Results 11 to 20 of about 288 (215)
On the multiplicity of umbilic points
Pacific Journal of Mathematics, 2022 We introduce an invariant of umbilic points on surfaces in the Euclidean or Minkowski 3-space that counts the maximum number of stable umbilic points they can split up under deformations of the surfaces. We call that number the multiplicity of the umbilic point and establish its properties.
do Couto Fernandes, Marco Antônio +1 more
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On isolated umbilic points [PDF]
Communications in Analysis and Geometry, 2020 Counter-examples to the famous conjecture of Caratheodory, as well as the bound on umbilic index proposed by Hamburger, are constructed with respect to Riemannian metrics that are arbitrarily close to the flat metric on Euclidean 3-space. In particular, Riemannian metrics with a smooth strictly convex 2-sphere containing a single umbilic point are ...
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Perestroikas of vertex sets at umbilic points [PDF]
Functional Analysis and Other Mathematics, 2008 Mark all vertices on a curve evolving under a family of curves obtained by intersecting a smooth surface M with the 1-parameter family of planes parallel to the tangent plane to M at a point p. Those vertices trace out a set, called the vertex set of M through p. We take p to be an isolated umbilic point on M and describe the perestroikas of the vertex
Capitanio, Gianmarco, Diatta, André
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On parabolic and umbilic points of immersed hypersurfaces [PDF]
Transactions of the American Mathematical Society, 1967 Introduction. This paper is a natural sequel to Geometry of immersions. I and II ([1] and [2]). The object is to apply the general geometric singularity theory developed in [1] and [2] to two specific geometric singularities of an immersed n manifold in R'+ll.
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Natural Killer Cells in Paediatric Soft Tissue Sarcomas: A Systematic Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Paediatric soft tissue sarcomas (pSTS) are a rare and heterogeneous group of malignant tumours arising in tissues of mesenchymal origin. The role of natural killer (NK) cells in pSTS remains poorly understood, with evidence fragmented across small preclinical studies and early‐phase clinical trials.
Raya Dean +7 more
wiley +1 more source
Umbilic Points on the Finite and Infinite Parts of Certain Algebraic Surfaces
Mathematical Proceedings of the Royal Irish Academy, 2023 Abstract: The global qualitative behaviour of fields of principal directions for the graph of a real-valued polynomial function f on the plane is studied. We determine and analyse the projective extension of these fields and show that they are defined by an analytic quadratic form on the whole unit 2-sphere.
Guilfoyle, Brendan +1 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT We report a retrospective single‐center analysis of pediatric patients with relapsed or refractory B‐cell precursor acute lymphoblastic leukemia focusing on relapses outside of the typical locations, bone marrow, central nervous system, or testes.
Johanna Kunz +7 more
wiley +1 more source
Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Molecular Oncology, EarlyView.This review summarizes the transcription factors, repressive chromatin‐modifying complexes, and epigenetic mechanisms that control fetal hemoglobin repression. Notably, many regulators of γ‐globin silencing also function in transcriptional and epigenetic networks that drive cancer, highlighting opportunities to translate advances in hemoglobinopathy ...
Meigen Yu +3 more
wiley +1 more source
An index bound for smooth umbilic points
, 2012 10 pages 3 figures AMS-LateX. A series of expository video clips explaining the methods and results of this paper can be found at the following links: https://www.youtube.com/watch?v=ybop3dETUjc and https://youtu.be ...
Guilfoyle, Brendan, Klingenberg, Wilhelm
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