Results 31 to 40 of about 182,921 (280)
Covariant derivative of the curvature tensor of pseudo-K\"ahlerian manifolds
, 2016 It is well known that the curvature tensor of a pseudo-Riemannian manifold can be decomposed with respect to the pseudo-orthogonal group into the sum of the Weyl conformal curvature tensor, the traceless part of the Ricci tensor and of the scalar ...
A Derdzinski +19 more
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Geometric Theory of Equiaffine Curvature Tensors [PDF]
Results in Mathematics, 2009 We present an algebraic investigation of generalized and equiaffine curvature tensors in a given pseudo-Euclidean vector space and study different orthogonal, irreducible decompositions in analogy to the known decomposition of algebraic curvature tensors.
Gilkey, P., Nikcevic, S., Simon, U.
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Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric
, 2011 A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exists, is determined.
Friedrich T. +7 more
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The Riemann–Lovelock curvature tensor [PDF]
Classical and Quantum Gravity, 2012 12 ...
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On curvature tensors of Hermitian manifolds [PDF]
Communications in Analysis and Geometry, 2018 This is the final version, accepted by ...
Yang, Bo, Zheng, Fangyang
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Curvature-torsion quasitensor of Laptev fundamental-group connection
Дифференциальная геометрия многообразий фигур, 2020 We consider a space with Laptev's fundamental group connection generalizing spaces with Cartan connections. Laptev structural equations are reduced to a simpler form.
Yu. I. Shevchenko
doaj +1 more source
Norden Golden Manifolds with Constant Sectional Curvature and Their Submanifolds
Mathematics, 2023 This paper discusses the Norden golden manifold having a constant sectional curvature. First, it is shown that if a Norden golden manifold has a constant real sectional curvature, the manifold is flat.
Fulya Şahin +2 more
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Curvature tensors on almost Hermitian manifolds [PDF]
Transactions of the American Mathematical Society, 1981 A complete decomposition of the space of curvature tensors over a Hermitian vector space into irreducible factors under the action of the unitary group is given. The dimensions of the factors, the projections, their norms and the quadratic invariants of a curvature tensor are determined.
Tricerri, Franco, Vanhecke, Lieven
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Rigidity of noncompact complete Bach-flat manifolds
, 2010 Let $(M,g)$ be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that $(M,g)$ is flat if $(M, g)$ has zero scalar curvature and sufficiently small $L_{2}$ bound of curvature tensor.
Anderson +15 more
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