منابع مشابه
On Differential Geometry and Homogeneous Spaces
* Work supported by the Office of Ordnance Research, United States Army, Contract No. DA-36-034-ORD-1296. 1 W. Feller, "The General Diffusion Operator and Positivity-preserving Semi-groups in One Dimension," Ann. Math., 60, 417-436, 1954; "The Parabolic Differential Equations and the Associated Semni-groups of Transformations," ibid., 55, 468-519, 1952; J. L. Doob, Stochastic Processes (New Yor...
متن کاملDifferential Geometry in spaces of mappings using nilpotent infinitesimals
Using standard analysis only, we present an extension •R of the real field containing nilpotent infinitesimals. On the one hand we want to present a very simple setting to formalize infinitesimal methods in Differential Geometry, Analysis and Physics. On the other hand we want to show that these infinitesimals are also useful in infinite dimensional Differential Geometry, e.g. to study spaces o...
متن کاملDifferential Geometry in Cartesian Closed Categories of Smooth Spaces
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
متن کاملThe Induced Connections on Total Spaces of Fibred Manifolds
Let Y → M be a fibred manifold with m-dimensional base and n-dimensional fibres. If m > 2 and n > 3, we classify all linear connections A(Γ,Λ,Θ) : T Y → J(T Y → Y ) in T Y → Y (i.e., classical linear connections on Y ) depending canonically on a system (Γ,Λ,Θ) consisting of a general connection Γ : Y → JY in Y → M , a torsion free classical linear connection Λ : T M → J(T M → M) on M and a line...
متن کاملRecurrent metrics in the geometry of second order differential equations
Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1967
ISSN: 0386-5991
DOI: 10.2996/kmj/1138845436