On harmonic and Killing tensor fields in a Riemannian manifold with boundary
ジャーナル
フリー
1962 年 14 巻 1 号 p. 37-65
詳細
- Published: 1962 Received: 1961/05/19 Available on J-STAGE: 2006/09/26 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/09/26 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Right : [1] Bochner, S., Vector fields and Ricci curvature, Bull. Amer. Math. Soc., 52 (1946), 776-797.
[2] Bochner, S., Curvature and Betti numbers, Ann. of Math., 49 (1948), 179-195.
[3] Bochner, S., Tensor fields and Ricci curvature in Hermitian metric, Proc. Nat. Acad. Sci. U. S. A., 37 (1951), 704-706.
[4] Bochner, S. and K. Yano, Tensor fields in non-symmetic connections, Ann. of Math., 47 (1946), 85-121.
[5] Chern, S. S., Lecture note on differential geometry I, Chicago, 1955.
[6] Conner, P. E., The Green's and Neuman's problems for differential forms on Riemannian manifold, Proc. Nat. Acad. Sci. U. S. A., 40 (1954), 1151-1155.
[7] Duff, F. G. D. and D. C. Spencer, Harmonic tensor on Riemannian manifolds with boundary, Ann. of Math., 56 (1952), 128-156.
[8] Eilenberg, S. and N. Steenrod, Foundations of algebraic topology, Princeton, 1952.
[9] Eisenhart, L. P., Riemannian geometry, Princeton, 1926.
[10] Hsing, C. C., Curvature and Betti numbers of compact Riemannian manifolds with boundary, Rend. Sem. Math. Univ. Politec. Torino, 17 (1957-58), 1-36.
[11] Lichnerowicz, A., Courbure et nombers de Betti d'une variété riemannienne compacte, C. R. Acad. Sci. Paris, 226 (1948), 1678-1680.
[12] Mogi, I., On harmonic field in Riemannian manifold, Kodai Math. Sem. Rep., 2 (1950), 61-66.
[13] Nakae, T., Curvature and relative Betti numbers, J. Math. Soc. Japan, 9 (1957), 367-373.
[14] de Rham, G., Variétés différentiables, Paris, 1955.
[15] Schouten, J. A., Ricci-calculus, Springer, 1956.
[16] Tomonaga, Y., On Betti numbers of Riemannian spaces, J. Math. Soc. Japan, 2 (1950), 93-104.
[17] Yano, K., On harmonic and Killing vector fields, Ann. of Math., 55 (1952), 38-45.
[18] Yano, K., Some remarks on tensor fields and curvature, Ann. of Math., 55 (1952), 328-347.
[19] Yano, K., Harmonic and Killing vector fields in compact orientable Riemannian spaces with boundary, Ann. of Math., 69 (1959), 588-597.
[20] Yano, K., Harmonic and Killing tensor fields in Riemannian spaces with boundary, J. Math. Soc. Japan, 10 (1958), 430-437.
[21] Yano, K., Sur les vecteurs harmoniques et vecteurs de Killing dans un espace de Riemann à frontière, C. R. Acad. Sci. Paris, 247 (1958), 1085-1087.
[22] Yano, K. and S. Bochner, Curvature and Betti numbers, Ann. of Math. Studies, No. 32, Princeton, 1953.
[23] Yano, K. and T. Takahashi, Some remarks on harmonic and Killing tensor fields in a Riemannian space with boundary, to appear.
訂正日: 2006/09/26 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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