Results 1 to 10 of about 846,182 (334)
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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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Mihai Visinescu, Eduard Vîlcu
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Killing and 2-Killing 1-Forms on Poisson Doubly Warped Product Manifolds [PDF]
MathematicsIn this paper we investigate Killing and 2-Killing 1-forms on a Poisson doubly warped product manifold (PDWPM). We establish a connection between the property of 1-form on a PDWPM and its components on the factor manifolds to be Killing or 2-Killing.
Bang-Yen Chen +3 more
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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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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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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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Twisted form hierarchies, Killing-Yano equations and supersymmetric backgrounds
Journal of High Energy Physics, 2020 We show that the Killing spinor equations of all supergravity theories which may include higher order corrections on a (r,s)-signature spacetime are associated with twisted covariant form hierarchies.
G. Papadopoulos
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