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Curvature tensors in Kaehler manifolds [PDF]
Transactions of the American Mathematical Society, 1973 Curvature tensors of Kaehler type (or type K ) are defined on a hermitian vector space and it has been proved that the real vector space
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Invariants over Curvature Tensor Fields
, 1998 In this paper, we present constructions of higher-order polynomialO(n)-invariants over curvature tensor fields. These invariants are higher-order analogues of the scalar curvature. Our methods are based on certain replicative properties of theO(n)-module
Xu, Xiaoping, Xu, XP
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FEBS Letters, EarlyView.Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure +3 more
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Some Identities for Generalized Curvature Tensors in 𝓑-Recurrent Finsler Space
Journal of New Theory, 2020 The purpose of the present paper is to consider and study a certain identities for some generalized curvature tensors in ℬ-recurrent Finsler space 𝐹𝑛 in which Cartan’s second curvature tensor 𝑃𝑗𝑘ℎ𝑖 satisfies the generalized of recurrence condition with ...
Adel Mohammed Ali Al-qashbari
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Heterotic reduction of Courant algebroid connections and Einstein–Hilbert actions
Nuclear Physics B, 2016 We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein–Hilbert ...
Branislav Jurčo, Jan Vysoký
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Generalized disformal invariance of cosmological perturbations with second-order field derivatives
Physics Letters B, 2021 We investigate how the comoving curvature and tensor perturbations are transformed under the generalized disformal transformation with the second-order covariant derivatives of the scalar field, where the free functions depend on the fundamental elements
Masato Minamitsuji
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FEBS Open Bio, EarlyView.Early‐life exposure to a high‐fat diet altered intact Achilles tendons in rat offspring, making them thinner, stiffer, and molecularly distinct even without injury. These findings suggest that developmental high‐fat diet exposure may impair tendon quality and increase susceptibility to mechanical overload or tendon injury later in life.
Heyong Yin +3 more
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Сurvature-torsion tensor for Cartan connection
Дифференциальная геометрия многообразий фигур, 2019 A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
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Advanced Engineering Materials, EarlyView.This study demonstrates an efficient recycling route for out‐of‐spec AlSi10Mg atomized powders through compaction and arc remelting followed by suction casting. By correlating compaction load, cooling rate, and resulting microstructure, we show that intermediate pressures (50–80 kN) and rapid cooling refine dendrites, reduce porosity, and enhance ...
Mila Christy de Oliveira +4 more
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Geometry of LP-Sasakian Manifolds Admitting a General Connection
MathematicsThis paper concerns certain properties of projective curvature tensor, conharmonic curvature tensor, quasi-conharmonic curvature tensor, and Ricci semi-symmetric conditions with respect to the general connection in an LP-Sasakian manifold.
Rajesh Kumar +3 more
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