Ricci tensor
New Way to Calculate Ricci Tensor and Ricci Scalar
... the Ricci tensor, Ricci scalar, and Einstein Field Equation directly in an easy way without the need to use general relativity theory hy- potheses, principles, and ...
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Torseforming Curvature and Ricci Tensor in a Trans- Sasakian Manifold
... Introduction. The purpose of the present paper is to define and study the torseforming Curvature and Ricci tensor in a trans-Sasakian manifold. In section 1 we review and collect some necessary results. In ...
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
... Let M be a real hypersurface, which in the following we shall always consider connected, of a quaternionic projective space QP’, rn >_ 2, with metric g of constant quaternionic sectional[r] ...
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Rigidity of $\tau$ quasi Ricci harmonic metrics
... Because of their importance in both mathematics and physics, the study of the Einstein manifolds and their various generalizations is always an attractive topic in modern Riemannian geometry. In recent years, there has ...
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Ricci Flow On Cohomogeneity One Manifolds
... An important feature of the Ricci flow (arising from the diffeomorphism invariance of the Ricci tensor) is the fact that isometries are preserved along the flow. In fact, by work of Kotschwar [23], ...
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On quotients of spaces with Ricci curvature bounded below
... standard Ricci curvature ...positive Ricci curvature to manifolds that have small neighborhoods of arbitrarily negative Ricci ...that Ricci curvature lower bounds in a weighted sense are ...
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Instantaneously complete Ricci flows on surfaces
... Hamilton ’s original proof of short-time existence in the compact setting relies on quite complicated arguments including the Nash-Moser inverse function theorem because the evolution equation (2.1) is only weakly ...
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Finslerian Ricci Deformation and Conformal Metrics
... a Ricci tensor associated with F and a Finsler-Ehresmann connection , ξ is a section of the vector bundle π * TM , X is a section of the tangent bundle T TM of TM TM : = \ 0 { } , R is the hh ...
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The CPT-RICCI Scalar Curvature Symmetry in Quantum Electro-Gravity
... Another measurable output of the theory is the detailed description of the gravitational field of antimatter. Many and discordant are the hypotheses on the gravitational features of the antimatter [15-19]. The ...
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Manifolds with Bakry Emery Ricci Curvature Bounded Below
... measure spaces with Bakry-Émery Ricci tensor bounded below. In this paper we estab- lish a Myers type theorem for manifolds bounded below by a negative constant. There- fore we prove that is a ...
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Ricci Solitons in (ε,δ)-Trans-Sasakian Manifolds
... expanding Ricci soliton is Einstein. In our case we have shown that the Ricci soliton in regular indefinite (ε, δ)-trans-Sasakian manifold is Einstein but it is not steady and it is a manifold of varying ...
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The Small Deformation Strain Tensor as a Fundamental Metric Tensor
... ∂ . (36) Hence, the covariant derivatives of the fundamental tensors vanish identically and the fundamental tensors can be treated as constants in covariant differentiation. The utility of the covariant derivative arises ...
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Hypersurfaces with nonnegative Ricci curvature in hyperbolic space
... Based on properties of n-subharmonic functions we show that a complete, noncompact, properly embedded hypersurface with nonnegative Ricci curvature in hyperbolic space has an asymptotic boundary at infinity of at ...
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Certain Results on η-RICCI Solitions in α-Sasakian Manifolds
... [16] K. Yano, M. Kon,: Structures on Manifolds, Series in Pure Mathematics, Vol. 3, Word Scientific, Singapore (1984). [17] R. Sharma,: Second order parallel tensor in real and complex space forms, Internat. J. ...
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The volume entropy of a surface decreases along the Ricci flow
... Question 2. A surface (M, g) of negative curvature can, through a large perturbation that glues a small pair of pants with two caps of positive curvature in place of a small disc, develop conjugate points and large ...
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Certain results on Ricci solitons in α-Kenmotsu manifolds
... Further, by virtue of this result, Ricci solitons for n- dimentional α -Kenmotsu manifolds are obtained.. In the last section, we discuss Ricci soliton for 3-dimentional α -Kenmotsu [r] ...
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Tensor Centric Warfare I: Tensor Lanchester Equations
... From Figures 8-10 we can see that adding strong bang-bang control inputs to tensor combat equations completely changes the natural combat-dynamics be- havior — control actions have the overall flattening effect . ...
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On the structure of Riemannian manifolds of almost nonnegative Ricci curvature
... 3. Ricci curvature pinching. If one replaces the lower bound on Ricci curvature by pinching and adds the lower volume bound, then one can prove that the second case in Theorem ...of Ricci curvature ...
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Ricci flow embedding for rectifying non-Euclidean dissimilarity data
... how Ricci flow can be used to embed and rectify non-Euclidean dissimilarity ...using Ricci flow to flatten the curved manifold by modifying the individual patch curva- ...the Ricci flow independently ...
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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
... This chapter is a reproduction of my joint paper with Asghar Ghorbanpour and Masoud Khalkhali [8]. The spectral geometry and study of local spectral invariants of curved non- commutative tori has been the subject of ...
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