An Exact Sequence for Submersions
نویسندگان
چکیده
As our second example we consider the case where TT is a differentiable submersion (in the usual sense) of codimension 1. Thus we assume that X, B are C°°-manifolds of dimensions n + 1 and n, respectively, and that TT is a regular differentiate map. Such a submersion is orientable if the induced line element field on X is orientable, and w will be called simple if w~(b) is connected for all bÇEB.
منابع مشابه
The differential geometry of almost Hermitian almost contact metric submersions
Three types of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold are studied. The study is focused on fundamental properties and the transference of structures. 1. Introduction. In this paper, we discuss some geometric properties of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold. If the base space is an...
متن کاملFiniteness Theorems for Submersions and Souls
The first section of this paper provides an improvement upon known finiteness theorems for Riemannian submersions; that is, theorems which conclude that there are only finitely many isomorphism types of fiber bundles among Riemannian submersions whose total spaces and base spaces both satisfy certain geometric bounds. The second section of this paper provides a sharpening of some recent theorem...
متن کاملThe Abdus Salam International Centre for Theoretical Physics Submersions and Equivariant Quillen Metrics
In this paper, we calculate the behaviour of the equivariant Quillen metric by submersions. We thus extend a formula of Berthomieu-Bismut to the equivariant case. MIRAMARE { TRIESTE November 1998 Address after 1 December 1998. E-mail: [email protected] R esum e. Dans cet article, on calcule le comportement de la m etrique de Quillen equivariante par submersions. On etend ainsi une...
متن کاملREES SHORT EXACT SEQUENCES OF S-POSETS
In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset P for the functor Hom(P;-) to be exact.
متن کاملStandard metabolic rate at the surface and during trained submersions in adult California sea lions (Zalophus californianus).
The metabolic rate (MR) of four adult California sea lions (Zalophus californianus), two males and two females, was quantified during trained submersion and stationing behavior in laboratory tanks. MR was measured, at rest and for single submersions of increasing duration (1-7 min), by measuring oxygen consumption using open-circuit, indirect calorimetry. Standard MR was measured under conditio...
متن کامل