Scalar curvatures in almost Hermitian geometry and some applications [PDF]
On an almost Hermitian manifold, there are two Hermitian scalar curvatures associated with a canonical Hermitian connection. In this paper, two explicit formulas on these two scalar curvatures are obtained in terms of the Riemannian scalar curvature ...
Jixiang Fu, Xianchao Zhou
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MULTI-CRITERIA EVALUATION OF THE MULTIFACTOR STOCHASTIC SYSTEMS EFFECTIVENESS
Subject of the research in the article is the evaluation of complex multifactor stochastic systems functioning effectiveness according to a variety of correlated criteria. The problem actuality is determined by the fact that an independent evaluation of
Lev Raskin +3 more
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Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three [PDF]
:We prove a priori interior curvature estimates for hypersurfaces of prescribing scalar curvature equations in $\mathbb{R}^{3}$. The method is motivated by the integral method of Warren and Yuan.
Guohuan Qiu
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On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I [PDF]
The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Natal’ya Pavlovna Mozhey
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Prescribing Morse Scalar Curvatures: Blow-Up Analysis [PDF]
We study finite-energy blow-ups for prescribed Morse scalar curvatures in both the subcritical and the critical regime. After general considerations on Palais–Smale sequences, we determine precise blow-up rates for subcritical solutions: in particular ...
A. Malchiodi, Martin Gebhard Mayer
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On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. II [PDF]
The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of the geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Mozhey, Natal’ya Pavlovna
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Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary [PDF]
We provide a general B\"ochner type formula which enables us to prove some rigidity results for $V$-static spaces. In particular, we show that an $n$-dimensional positive static triple with connected boundary and positive scalar curvature must be ...
H. Baltazar, E. Ribeiro
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Local energy decay for scalar fields on time dependent non-trapping backgrounds [PDF]
:We consider local energy decay estimates for solutions to scalar wave equations on nontrapping asymptotically flat space-times. Our goals are two-fold. First we consider the stationary case, where we can provide a full spectral characterization of local
Jason Metcalfe +2 more
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Stable discontinuous Galerkin FEM without penalty parameters [PDF]
We propose a modified local discontinuous Galerkin (LDG) method for second--order elliptic problems that does not require extrinsic penalization to ensure stability.
John, Lorenz +2 more
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SCALAR AND VECTOR IN COMPULATION
The article deals with two fundamental data types – scalar and vector (array), without the ability of working with them one cannot solve using computer school or university tasks in mathematics, physics, chemistry and other technical training courses ...
Valery F. Ochkov +1 more
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