We consider a skew symetric conformal vector fleld on a closed concircular almost contact manifold M and flnd its properties. Also, for a CR-product submanifold M 0 of M, the mean curvature vector fleld of the invariant submanifold and the ∞atness of the antiinvariant submanifold are studied, under the assumption that M 0 admits a skew symmetric Killing vector fleld tangent to the invariant submanifold, such that its generative is tangent to the antiinvariant submanifold.

Some properties of a closed concircular almost contact manifold

Integral formulas in Riemannian geometry

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Structures on manifolds

background

Les systèmes differentiels extérieure et leur applications géométriques

Part 1 Weyl-Kodaira theory: elliptical differential operators on an interval of R boundary conditions self-adjoint operators associated with a linear differential equation the case of second order equations example - second order equations with periodic-coefficients example - Gelfand-Levitan equations. Part 2 Multilayer potentials: symbols of rational type the case of hyperplane multilayers general case. Part 3 Fine boundary value problems for elliptical differential operators: the Calderon operator elliptic boundary value problems ellipticity criteria the spaces Hs,r (U+) Hs,r - spaces and P-potentials regularity on the boundary coercive problems generalized Green's formula fine problems associated with coercive problems examples extension to some non-Hermitian operators case of second-order operators Neumann's problem the maximum principle. Part 4 Parabolic equations: construction of one-sided local resolvent the one-sided global Cauchy problem traces and eigenvalues. Part 5 Evolution distributions - the wave equation: generalized Cauchy problem propagation and domain of influence signals, waves and rays. Part 6 Strictly hyperbolic equations: preliminary results construction of a local approximate resolvent examples and variations the Cauchy problem for strictly hyperbolic differential operators existence and local uniqueness global problems extension to manifolds. Part 7 Application to the spectrum of a Hermitian elliptic operator.

Some properties of a closed concircular almost contact manifold

Citations

Integral formulas in Riemannian geometry

References

Structures on manifolds

Les systèmes differentiels extérieure et leur applications géométriques

Treatise on Analysis

Integral formulas in riemannian geometry

Integral formulas in Riemannian geometry

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