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We continue our study of the space of geodesics of a manifold with linear connection. We obtain sufficient conditions for a product to have a space of geodesics which is a manifold. We investigate the relationship of the space of geodesics of a covering manifold to that of the base space. We obtain sufficient conditions for a space to be geodesically connected in terms of the topology of its space of geodesics. 相似文献
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The completeness, minimality, and basis property in L 2[0, π] and L p[0, π], p ≠ 2, are considered for systems of dilated functions u n (x) = S(nx), n ∈ N, where S is the trigonometric polynomial S(x) = Σ k=0 m a k sin(kx), a 0 a m ≠ 0. A series of results are presented and several unanswered questions are mentioned. 相似文献
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