Ruled CR-submanifolds of locally conformal K\"{a}hler manifolds

The purpose of this paper is to study the canonical totally real foliations of CR-submanifolds in a locally conformal K\"{a}hler manifold.Comment: 10 pages, Journal of Geometry and Physics (to appear

The Integral Of Mixed Scalar Curvature Along A Leaf Of Foliation

. By using the method of matrix Riccati ODE, we study Riemannian manifolds with foliations (distributions), whose mixed Ricci or scalar curvature is nonnegative and the norms of integrability tensors are bounded above. We obtain the integral formula for mixed scalar curvature along the complete leaf, rigidity of totally geodesic distribution, splitting of foliation with "large" dimension. 1. Main results For two complementary orthogonal distributions T 1 and T 2 on TM we define the structural tensors B 1 : T 2 \Theta T 1 ! T 1 ; B 2 : T 1 \Theta T 2 ! T 2 by formulae, where P i : TM ! T i are orthoprojectors B 1 (y; x) := P 1 (r x y); B 2 (x; y) := P 2 (r y x): (1) Obviously, the equation B i = 0 means that T i is tangent to totally geodesic foliation. The equalities B 1 = B 2 = 0 mean by de Rham decomposition theorem that M is locally a product L 1 \Theta L 2 , where TL 1 = T 1 ; TL 2 = T 2 . Tensors (1) (as well as Gray's tensors O; T [Gra2] or O'Neill's tensors A; T [O'Ne]) cont..

MOBILE COMPLEX FOR CATALYTIC THERMAL WASTE TREATMENT

The design and purpose of the basic units of the mobile waste processing complex “MPK” are described. Experimental data of catalytic purification of exhaust gases are presented. Experimental data on catalytic clearing of final gases of a designed mobile incinerator plant are shown. It is defined, that concentrating of parasitic bridging in waste gases of the complex are considerably smaller, rather than allowed by normative documents