Riemannian Metric
On Quaternionic 3 CR Structure and Pseudo Riemannian Metric
... S -bundle. This analogy is carried out to the quarternionic conformal 3 -CR structure (a generalization of quaternionic CR- structure) on a 4 n + 3 -manifold M . This structure produces a conformal class [ ] g of a ...
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Operator theory on spectrum of discrete laplace beltrami operator riemannian metric
... We have also given in each a few additional references to relevant. The constraints of space have of necessity forced us to omit many more important references that it was possible to include and we a apologize in a ...
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Index of Quasiconformally Symmetric Semi Riemannian Manifolds
... semi- Riemannian metric 11 on M, we understand a nondegenerate symmetric 0, 2 tensor field ...semi-Riemannian metric is called simply a metric ...a Riemannian metric, ...
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NONHOLONOMIC FRAMES FOR FINSLER SPACE WITH DEFORMED MATSUMOTO METRIC
... In the present paper, we have used the common Finsler idea to study the existence of a nonholonomic frame on the vertical sub bundle VTM of the tangent bundle of a base manifold M. In this case we have considered the ...
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Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold
... Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably ...
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The Role of Riemannian Manifolds in Computer Vision: From Coding to Deep Metric Learning
... Encoding a vector as linear combination of a few elements of an over-complete codebook is recognized as SC and has led to notable performances in various computer vision tasks Wright et al. [2009]; Elad and Aharon ...
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Indefinite Almost Paracontact Metric Manifolds
... semi-Riemannian metric 10 on a manifold M, we understand a non-degenerate symmetric tensor field g of type 0, ...Lorentzian metric 11. A sufficient condition for the existence of a Riemannian ...
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Geodesics on Generalized Plane Wave Manifolds
... on Riemannian manifolds because the positive definite metric makes the manifold a metric ...pseudo-Riemannian metric does not always make the manifold a metric ...a ...
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Totally umbilical CR submanifolds of Semi Riemannian Kaehler manifolds
... CR-submanifolds, Totally umbilical, Semi-Riemannian metric, Kaehler manifold, normal contact metric structure, second fundamental form... 1980 AMS SUBJECT CLASSIFICATION CODE..[r] ...
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Left Invariant Finsler Manifolds are Generalized Berwald
... a Riemannian metric on G we refer to [13, Propo- sition ...this metric is bi-invariant follows from Proposition ...The metric constructed in the lemma is called an averaged Riemannian ...
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Modeling geometric temporal context with directional pyramid co occurrence for action recognition
... The proposed covariance descriptor has the following advantages. (1) It combines multiple low-level features in a concise way. (2) It can be computed and compared quickly under the log-Euclidean Riemannian ...
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Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces
... the Riemannian metric for three- and four-dimensional Riemann spaces, a large group of nonlinear partial differential equations has been determined in both three and four ...
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Four dimensional geometries
... From now on all geometries will be assumed to be maximal and G will be the connected component of e in the group of isometries of M,x for some Riemannian metric A on N To the G invariant[r] ...
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On hypoelliptic bridge
... We move on to results based on heat kernel estimates and begin with reviewing Gaussian upper bounds for the fundamental solutions. The Markov generator for an elliptic diffusion is necessarily of the form 1 2 ∆ + Z where ...
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On Special Generalized Douglas-Weyl Metrics
... P span y v = . A Finsler metric F is said to be of isotopic flag curvature if K K x = ( ) . In this paper, we show that every metrics in this class of Finsler metrics with non-zero isotropic flag curvature is a ...
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The Fisher Rao metric for projective transformations of the line
... Let θ, ψ be points of PSL(2, IR). If θ, ψ are sufficiently close together, then it is unlikely that a single measurement x will contain enough information to distinguish between θ and ψ. If p(x|θ) is large, then θ is a ...
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Rate invariant analysis of covariance trajectories
... i.e. without any parallel translation, and the space of such representations is the the space of trajectories in full tangent bundle of the manifold. As described next, the proposed representation in our paper is a curve ...
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Ruppeiner(2013)
... A Riemannian metric in any context leads directly to a Ricci curvature scalar R [11], and this is certainly the case ...thermodynamic metric elements g αβ ...
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Vol 2014
... Definition 2.2. Let(G/H, F ) be a homogeneous (α, β)metric of the form F = αφ(s), where s = β/α with α a G-invariant Riemannian metric on G/H and β a G-invariant vector field on G/H . As pointed out ...
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Nonholonomic frames for Finsler spaces with special (alpha, beta)-metric
... Non-holonomic frame relates a semi-Riemannian metric or Minkowski or Lorentz metric with an induced Finsler metric. Antonelli and Bucataru ([1], [2]), has been determined such a non-holonomic ...
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