On Jacobi field splitting theorems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Splitting Theorems in Presence of an Irrotational Vector Field

New splitting theorems in a semi-Riemannian manifold which admits an irrotational vector field (not necessarily a gradient) with some suitable properties are obtained. According to the extras hypothesis assumed on the vector field, we can get twisted, warped or direct decompositions. Some applications to Lorentzian manifold are shown and also S ×L type decomposition is treated.

متن کامل

Generalized splitting theorems

In (5), we and Fred Cohen gave some quite general splitting theorems. These described how to decompose the suspension spectra of certain filtered spaces CX as wedges of the suspension spectra of their successive filtration quotients Dq X. The spaces CX were of the form Cr x I r / ( ~ ) for suitable sequences of spaces {Cf} and {Xr}, and the construction CX was intended to be a reworking in 'pro...

متن کامل

Verification Theorems for Hamilton--Jacobi--Bellman Equations

We study an optimal control problem in Bolza form and we consider the value function associated to this problem. We prove two verification theorems which ensure that, if a function W satisfies some suitable weak continuity assumptions and a Hamilton-Jacobi-Bellman inequality outside a countably H-rectifiable set, then it is lower or equal to the value function. These results can be used for opt...

متن کامل

Limit theorems for beta-Jacobi ensembles

For a β-Jacobi ensemble determined by parameters a1, a2 and n, under the restriction that the three parameters go to infinity with n and a1 being of small orders of a2, we obtain some limit theorems about the eigenvalues. In particular, we derive the asymptotic distributions for the largest and the smallest eigenvalues, the central limit theorems of the eigenvalues, and the limiting distributio...

متن کامل

Jacobi Field Comparison

Along a geodesic in a Riemannian manifold, the Jacobi fields encode how the pattern of near by geodesics differ from the corresponding pattern in Euclidean space. In particular, complete knowledge of a manifold’s Jacobi fields completely determines its local geometry as well as much of its algebraic topology. As Jacobi fields are the solutions of a 2 order linear ODE that involves curvature, it...

متن کامل

ذخیره 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: Differential Geometry and its Applications

سال: 2014

ISSN: 0926-2245

DOI: 10.1016/j.difgeo.2014.10.003