I222 計算の理論 (Theory of Computation) Report (2)

Therefore, with the weak form of the positive mass theorem, the strict inequality of Theorem 2 is satisfied by locally conformally flat manifolds and by manifolds of dimensions 3, 4

This paper is a sequel to [1] where the existence of homoclinic solutions was proved for a family of singular Hamiltonian systems which were subjected to almost periodic forcing...

R.Brown and J-L.Loday [5] noted that if the second dimension G 2 of a simplicial group G, is generated by the degenerate elements, that is, elements coming from lower dimensions,

Recently, Arino and Pituk [1] considered a very general equation with finite delay along the same lines, asking only a type of global Lipschitz condition, and used fixed point theory

In analogy with Aubin’s theorem for manifolds with quasi-positive Ricci curvature one can use the Ricci flow to show that any manifold with quasi-positive scalar curvature or

Indeed, in order to conclude from Gromov’s Theorem that G has a nilpotent subgroup of finite index, it suffices to know that G has a connected Cayley graph of finite valency that

the log scheme obtained by equipping the diagonal divisor X ⊆ X 2 (which is the restriction of the (1-)morphism M g,[r]+1 → M g,[r]+2 obtained by gluing the tautological family

Therefore, there is no control on the growth of the third modified energy E (3) and thus Theorem 1.8 with the second modified energy E (2) is the best global well-posedness result