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Conformal Killing Forms on Totally Umbilical Submanifolds

Journal of Mathematical Sciences, 2016
For a \(C^{\infty}\)-manifold \(M\) with a pseudo-Riemannian metric \(g\) and Levi-Civita connection \(\nabla\), an \(r\)-form \(\omega\) on \(M\) is called a conformal Killing form if it satisfies the differential equation: \[ \nabla\omega-\frac{1}{r+1}d\omega+g\wedge\theta=0 \] for some \((r-1)\)-form \(\theta\).
Stepanov, S. E.   +3 more
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Killing tensors from conformal Killing vectors

Classical and Quantum Gravity, 1992
Killing vectors are usual known or at least not very hard to find. Conformal Killing vectors are much harder to find and consequently the process of finding the corresponding Killing tensors of order 2 is more difficult. The aim of this paper is to explicitly obtain Killing tensors of order 2 without solving the classical equations.
openaire   +1 more source

Special Killing forms on Lorentzian spin manifolds

2011 International Conference on Computer Science and Service System (CSSS), 2011
The aim of this paper is to give some conformal Killing forms, some Killing and special Killing forms concerning the geometry of Lorentzian spin manifolds admitting imaginary Killing spinors. By the Dirac current flow V ϕ of an imaginary killing spinor ϕ.
null Quanxiang Pan   +2 more
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Killing Vector Fields and Twistor Forms on Generalized Sasakian Space Forms

Mediterranean Journal of Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Killing form for graded Lie algebras

Journal of Mathematical Physics, 1977
A Killing form with nice symmetry and invariance properties is constructed for an arbitrary graded Lie algebra. When this form is nondegenerate, Casimir operators can be constructed, and the graded Lie algebra possesses properties analogous to those possessed by semisimple ordinary Lie algebras.
openaire   +2 more sources

American Cancer Society nutrition and physical activity guideline for cancer survivors

Ca-A Cancer Journal for Clinicians, 2022
Cheryl L Rock   +2 more
exaly  

Apical–basal polarity and the control of epithelial form and function

Nature Reviews Molecular Cell Biology, 2022
Clare E Buckley, Daniel St Johnston
exaly  

Ruthenium-Catalyzed Cycloadditions to Form Five-, Six-, and Seven-Membered Rings

Chemical Reviews, 2021
Rosalie S Doerksen   +2 more
exaly  

Broadening horizons: the role of ferroptosis in cancer

Nature Reviews Clinical Oncology, 2021
Xin Chen, Rui Kang, Guido Kroemer
exaly  

Killing forms on - and -manifolds

Journal of Geometry and Physics, 2006
openaire   +1 more source

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