Results 1 to 10 of about 14,636 (107)
Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections
Communications in Analysis and Mechanics, 2023 In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups.
Jinli Yang, Jiajing Miao
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Mathematics, 2023 In this paper, we address the study of the Kobayashi–Nomizu type and the Yano type connections on the tangent bundle TM equipped with the Sasaki metric. Then, we determine the curvature tensors of these connections.
Esmaeil Peyghan +2 more
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Classification of Lorentzian Lie Groups Based on Codazzi Tensors Associated with Yano Connections
Symmetry, 2022 In this paper, we derive the expressions of Codazzi tensors associated with Yano connections in seven Lorentzian Lie groups. Furthermore, we complete the classification of three-dimensional Lorentzian Lie groups in which Ricci tensors associated with Yano connections are Codazzi tensors.
Jiajing Miao, Jinli Yang, Jianyun Guan
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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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Дифференциальная геометрия многообразий фигур, 2021 The theory of tangent bundles over a differentiable manifold M belongs to the geometry and topology of manifolds and is an intensively developing area of the theory of fiber spaces. The foundations of the theory of fibered spaces were laid in the works
A. Ya. Sultanov +2 more
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The TCFHs of D = 11 AdS backgrounds and hidden symmetries
Journal of High Energy Physics, 2023 We present the TCFHs of all AdS backgrounds of 11-dimensional supergravity and explore some of the properties of the associated connections. Therefore, we demonstrate that all Killing spinor bilinears satisfy a generalisation of the conformal Killing ...
G. Papadopoulos, E. Pérez-Bolaños
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The Cartan connection: sketches for a portrait of Kentaro Yano [PDF]
Creative Mathematics and Informatics, 2021 We are describing the historical context in which Kentaro Yano prepared his doctoral dissertation under Elie Cartan’s coordination, and how this ´ work was published in Romania, with Analele S¸ tiint¸ifice ale Universit˘at¸ii “Al. I. Cuza”. We describe some of the many encounters made possible by Elie Cartan’s extraordinary creative contributions ...
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TCFHs, IIB warped AdS backgrounds and hidden symmetries
Journal of High Energy Physics, 2023 We present the twisted covariant form hierarchies (TCFHs) on the internal spaces of all type IIB warped AdS backgrounds. As a result we demonstrate that the form bilinears on the internal spaces satisfy a generalisation of the conformal Killing-Yano ...
L. Grimanellis, G. Papadopoulos
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Journal of Nonlinear Mathematical Physics, 2023 AbstractIn the present paper, we calculate Yano connection, its curvature and Lie derivative of metric associated to it on three-dimensional Lorentzian Lie groups with some product structure. We introduce affine generalized Ricci solitons associated to the Yano connection and we classify left-invariant affine generalized Ricci solitons associated to ...
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Index of quasi-conformally symmetric semi-Riemannian manifolds [PDF]
, 2012 We find the index of $\widetilde{\nabla}$-quasi-conformally symmetric and $\widetilde{\nabla}$-concircularly symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is metric ...
Gupta, Punam +2 more
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