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notions of parallel transport can then be defined similarly as for the case of vector fields.
notions of parallel transport can then be defined similarly as for the case of vector fields.

the derivatives have some common features including that they are derivatives along integral curves of vector fields.
the derivatives have some common features including that they are derivatives along integral curves of vector fields.

if "r" is finite and the manifold is compact, the space of vector fields is a banach space.
if "r" is finite and the manifold is compact, the space of vector fields is a banach space.

« asymptotic confidence bands for the estimated autocovariance and autocorrelation functions of vector autoregressive models » , por g. coenen , enero 2000 .
9 « asymptotic confidence bands for the estimated autocovariance and autocorrelation functions of vector autoregressive models » , by g. coenen , january 2000 .

if "r" = ∞ or if the manifold is σ-compact, the space of vector fields is a fréchet space.
if "r" = ∞ or if the manifold is σ-compact, the space of vector fields is a fréchet space.

(1967), a history of vector analysis: "the evolution of the idea of a vectorial system", university of notre dame press.
(1967), a history of vector analysis: "the evolution of the idea of a vectorial system", university of notre dame press.

===lie algebra===in particular, the lie algebra of the diffeomorphism group of "m" consists of all vector fields on "m", equipped with the lie bracket of vector fields.
===lie algebra===the lie algebra of the diffeomorphism group of "m" consists of all vector fields on "m" equipped with the lie bracket of vector fields.