摘要:
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sci-hub.se 参考文章(11)
Yosio Muto, Some properties of geodesics in the large in a two-dimensional Riemannian manifold with positive curvature Science reports of the Yokohama National University. Section 1, Mathematics, physics. ,vol. 2, pp. 1- 12 ,(1953)
Stanisław Gołąb, Sur quelques propriétés des lignes géodésiques Annales Polonici Mathematici. ,vol. 8, pp. 91- 103 ,(1960) , 10.4064/AP-8-1-91-103
J. L. SYNGE, ON THE CONNECTIVITY OF SPACES OF POSITIVE CURVATURE Quarterly Journal of Mathematics. ,vol. 7, pp. 316- 320 ,(1936) , 10.1093/QMATH/OS-7.1.316
Alexandre Preissmann, Quelques propriétés globales des espaces de Riemann Commentarii Mathematici Helvetici. ,vol. 15, pp. 175- 216 ,(1942) , 10.1007/BF02565638
Marston Morse, A generalization of the sturm separation and comparison theorems in n -space Mathematische Annalen. ,vol. 103, pp. 52- 69 ,(1930) , 10.1007/BF01455690
Sumner Byron Myers, Riemannian manifolds in the large Duke Mathematical Journal. ,vol. 1, pp. 39- 49 ,(1935) , 10.1215/S0012-7094-35-00105-3
H. E. Rauch, A Contribution to Differential Geometry in the Large The Annals of Mathematics. ,vol. 54, pp. 38- ,(1951) , 10.2307/1969309
J. W. Milnor, On the Total Curvature of Knots The Annals of Mathematics. ,vol. 52, pp. 248- ,(1950) , 10.2307/1969467
I. J. Schoenberg, Some Applications of the Calculus of Variations to Riemannian Geometry Annals of Mathematics. ,vol. 33, pp. 485- ,(1932) , 10.2307/1968530
J. H. C. Whitehead, On the Covering of a Complete Space by the Geodesics Through a Point The Annals of Mathematics. ,vol. 36, pp. 679- ,(1935) , 10.2307/1968651