Results 11 to 20 of about 11,761,264 (219)
Killing Forms on 2-Step Nilmanifolds [PDF]
Journal of Geometric Analysis 31, 863-887 (2021), 2019 We study left-invariant Killing k-forms on simply connected 2-step nilpotent Lie groups endowed with a left-invariant Riemannian metric. For k=2,3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Viviana del Barco, Andrei Moroianu
semanticscholar +6 more sources
On the Killing form of Lie Algebras in Symmetric Ribbon Categories [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form.
Buchberger, Igor, Fuchs, Jürgen
core +7 more sources
Killing Tensor and Carter Constant for Painlevé–Gullstrand Form of Lense–Thirring Spacetime [PDF]
Universe, 2021 Recently, the authors have formulated and explored a novel Painlevé–Gullstrand variant of the Lense–Thirring spacetime, which has some particularly elegant features, including unit-lapse, intrinsically flat spatial 3-slices, and some particularly simple ...
Joshua Baines +3 more
doaj +2 more sources
Killing spinor-valued forms and their integrability conditions [PDF]
Annals of Global Analysis and Geometry, 2020 We study invariant systems of PDEs defining Killing vector-valued forms, and then we specialize to Killing spinor-valued forms. We give a detailed treatment of their prolongation and integrability conditions by relating the point-wise values of solutions to the curvature of the underlying manifold.
Petr Somberg, Petr Zima
arxiv +6 more sources
On Killing Forms and Invariant Forms of Lie-Yamaguti Superalgebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2017 The notions of the Killing form and invariant form in Lie algebras are extended to the ones in Lie-Yamaguti superalgebras and some of their properties are investigated. These notions are also Z2-graded generalizations of the ones in Lie-Yamaguti algebras.
Patricia L. Zoungrana, A. Nourou Issa
doaj +2 more sources
PLoS Pathogens, 2020 An important effector function of the human complement system is to directly kill Gram-negative bacteria via Membrane Attack Complex (MAC) pores. MAC pores are assembled when surface-bound convertase enzymes convert C5 into C5b, which together with C6 ...
Dennis J Doorduijn +7 more
doaj +2 more sources
Lie algebra of conformal Killing-Yano forms [PDF]
Class. Quantum Grav. 33 (2016) 125033, 2016 We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing-Yano forms. A new Lie bracket for conformal Killing-Yano forms that corresponds to slightly modified Schouten-Nijenhuis bracket of differential forms is proposed.
arxiv +6 more sources
Hidden symmetries and Lie algebra structures from geometric and supergravity Killing spinors [PDF]
Class. Quantum Grav. 33 (2016) 165002, 2016 We consider geometric and supergravity Killing spinors and the spinor bilinears constructed out of them. The spinor bilinears of geometric Killing spinors correspond to the antisymmetric generalizations of Killing vector fields which are called Killing ...
Ö. Açık, Ü. Ertem
semanticscholar +2 more sources
Carbon Dots for Sensing and Killing Microorganisms
C, 2019 Carbon dots (or carbon quantum dots) are small (less than 10 nm) and luminescent carbon nanoparticles with some form of surface passivation. As an emerging class of nanomaterials, carbon dots have found wide applications in medicine, bioimaging, sensing,
Fengming Lin, Yan-Wen Bao, Fu-Gen Wu
doaj +2 more sources
Conformal Killing forms in Kähler geometry
Illinois Journal of Mathematics, 2020 For Kaehler manifolds we explicitly determine the solution to the conformal Killing form equation in middle degree. In particular, we complete the classification of conformal Killing forms on compact Kaehler manifolds.
P. Nagy, U. Semmelmann
semanticscholar +3 more sources