Results 1 to 10 of about 464,196 (167)
Killing forms on symmetric spaces [PDF]
Differential Geometry and its Applications, 2006 Killing forms on Riemannian manifolds are differential forms whose covariant derivative is totally skew--symmetric. We show that a compact simply connected symmetric space carries a non--parallel Killing $p$--form ($p\ge2$) if and only if it isometric to a Riemannian product $S^k\times N$, where $S^k$ is a round sphere and $k>p$.
Belgun, Florin +2 more
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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
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Einstein warped product spaces on Lie groups
Cubo, 2022 We consider a compact Lie group with bi-invariant metric, coming from the Killing form. In this paper, we study Einstein warped product space, $M = M_1 \times_{f_1} M_2$ for the cases, $(i)$ $M_1$ is a Lie group $(ii)$ $M_2$ is a Lie group and $(iii ...
Buddhadev Pal +2 more
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To Kill But Not Be Killed: Controlling the Activity of Mammalian Pore-Forming Proteins [PDF]
Frontiers in Immunology, 2020 Pore-forming proteins (PFPs) are present in all domains of life, and play an important role in host-pathogen warfare and in the elimination of cancers. They can be employed to deliver specific effectors across membranes, to disrupt membrane integrity interfering with cell homeostasis, and to lyse membranes either destroying intracellular organelles or ...
Patrycja Kozik +2 more
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Killing Tensor and Carter Constant for Painlevé–Gullstrand Form of Lense–Thirring Spacetime
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
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TCFHs, hidden symmetries and type II theories
Journal of High Energy Physics, 2022 We present the twisted covariant form hierarchies (TCFH) of type IIA and IIB 10-dimensional supergravities and show that all form bilinears of supersymmetric backgrounds satisfy the conformal Killing-Yano equation with respect to a TCFH connection.
L. Grimanellis +2 more
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TCFHs and hidden symmetries of type IIA AdS backgrounds
Journal of High Energy Physics, 2023 We present the twisted covariant form hierarchies (TCFHs) of warped (massive) IIA AdS backgrounds. As a consequence we demonstrate that all Killing spinor form bilinears satisfy a generalisation of the conformal Killing-Yano equation with respect to the ...
G. Papadopoulos, J. Phillips
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A note on $2$-plectic vector spaces [PDF]
Journal of Mahani Mathematical Research, 2023 Among the $2$-plectic structures on vector spaces, the canonical ones and the $2$-plectic structures induced by the Killing form on semisimple Lie algebras are more interesting.
Mohammad Shafiee
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Killing-Yano forms and Killing tensors on a warped space [PDF]
Physical Review D, 2016 We formulate several criteria under which the symmetries associated with the Killing and Killing-Yano tensors on the base space can be lifted to the symmetries of the full warped geometry. The procedure is explicitly illustrated on several examples, providing new prototypes of spacetimes admitting such tensors.
David Kubiznak +2 more
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A single synonymous nucleotide change impacts the male-killing phenotype of prophage WO gene wmk
eLife, 2021 Wolbachia are the most widespread bacterial endosymbionts in animals. Within arthropods, these maternally transmitted bacteria can selfishly hijack host reproductive processes to increase the relative fitness of their transmitting females.
Jessamyn I Perlmutter +2 more
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