Riemannian manifold
On a Semi Symmetric Metric Connection With a Special Condition On a Riemannian Manifold
... a Riemannian manifold admits a semi symmetric metric connection whose curvature tensor vanishes, it is necessary and sufficient that the Riemannian manifold be conformally flat, for some ...
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Review of complex conformal structures of 1 dimensional Riemannian manifold
... of Riemannian and pseudo-Riemannian manifolds that remain invariant under conformal transformations of the ...complex manifold of complex dimension 1 is called a Riemann surface or 1-Dimensional ...
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Riesz Martin representation for positive super polyharmonic functions in A Riemannian manifold
... plane, satisfying certain conditions. Then it has been shown that u has a representation analogous to the Poisson-Jensen representation for subharmonic functions on D. In the same vein, it is shown here that a function u ...
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Relative Isoperimetric Inequality for Minimal Submanifolds in a Riemannian Manifold
... For any domain Σ on a minimal surface in the outside convex set C in an n-dimensional Riemannian manifold, we prove a weak relative isoperimetric inequality πAreaΣ ≤ Length∂Σ − ∂C2 KAre[r] ...
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A nonexistence result for a nonlinear wave equation with damping on a Riemannian manifold
... In this paper, we study the global nonexistence of solutions to a nonlinear wave equation with critical potential V(x) on a Riemannian manifold, the form of which is more general than those in []. The way ...
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On a class of paracontact Riemannian manifold
... paracontact Riemannian manifolds that their Riemannian curvature satisfies in the certain condition and we show that this classification holds for the special cases semi-symmetric and locally symmetric ...
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Representing measures on the Royden boundary for solutions of Δu=Pu on a Riemannian manifold
... The first main result is that there exists a [."'E:-minimal function if and only if there exists an atom on the Royden boundary with respect to the solution representing measure.. ·1·J h[r] ...
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Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions
... Ic3f is the Pdemannian surface area of Of, Kx is the scalar curvature of f at x, Hz is the second fundamental form of the boundary KaYz is the scalar curvature of c3f equipped with the i[r] ...
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3.Sobolev-type inequalities and complete Riemannian manifolds with nonnegative Ricci curvature
... mannian manifold taking into account the geometric nature of such ...on manifold satisfying volume dou- bling ...complete Riemannian manifold with nonnegative Ricci curvature sat- isfying the ...
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Curvature tensor of almost $C(lambda)$ manifolds
... In 1981, D. Janssen and L. Vanhecke [6] have introduced the notion of almost C(λ) manifolds. Further Z. Olszak and R. Rosca [11] investigated such manifolds. Again S. V. Kharitonava [8] studied conformally flat almost C ...
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Harmonic morphisms and subharmonic functions
... between Riemannian manifolds and will prove similar results of Liouville type as mentioned ...complete Riemannian manifold and let N be a complete noncompact Riemannian manifold ...
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Symmetric Spaces as Riemannian Manifolds
... A Riemannian manifold with point reflection, a Riemannian manifold with parallel curvature tensor, a Lie group with certain involution, a homogeneous space with special isotropy group, a ...
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The Fisher Rao metric for projective transformations of the line
... These results are the basis of a simple algorithm for detecting those projective transfor- mations of the line which are compatible with a given set of measurements. The algorithm searches a finite list of representative ...
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Tangent Bundle of the Hypersurfaces in a Euclidean Space
... a Riemannian manifold, for instance the presence of nonzero Killing vector field on a compact Riemannian manifold forces its Ricci curvature to be non- negative and this in particular implies ...
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On the characteristic properties of geodesic sub- α, b, s -preinvex
... Note that for every Riemannian manifold W there exists only one covari- ant derivation and it is also known as Levi-Civita connection 5 X Y , for X, Y ∈ W . Further, a geodesic smooth path α having tangent ...
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On Generalized Phi-Recurrent Kenmotsu Manifolds
... associated Riemannian metric ...contact Riemannian manifolds and call them Kenmotsu manifold ...Kenmotsu manifold satisfies the condition R(X, Y ).R = 0, then the manifold is of negative ...
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Harmonic Maps and Bi Harmonic Maps on CR Manifolds and Foliated Riemannian Manifolds
... foliated Riemannian mani- folds following [31] [32] ...foliated Riemannian manifold with foliation of codimension q and a bundle-like Rieman- nian metric g with respect to ...induced ...
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Diffusion Kernels on Statistical Manifolds
... statistical manifold associated with the Fisher information metric of this ...the Riemannian structure given by the Fisher metric, leading to a Mercer kernel defined on the appropriate function ...
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Lightlike Hypersurfaces of a Semi Riemannian Product Manifold and Quarter Symmetric Nonmetric Connections
... semi-Riemannian manifold, was presented in 1 see also 2, 3 by Duggal and ...product manifold and gave some examples and results for lightlike ...
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PubMedCentral-PMC5433528.pdf
... connected Riemannian manifold ℳ with the property that at each point, the mapping that reverses geodesics through that point is an ...smooth manifold ℳ and a Lie group G, a smooth group action of G ...
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