A relative Hodge-Kodaira decomposition

Daisuke FUJIWARA

doi:10.2969/jmsj/02440609

Daisuke FUJIWARA

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JOURNAL FREE ACCESS

1972 Volume 24 Issue 4 Pages 609-637

DOI https://doi.org/10.2969/jmsj/02440609

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Published: 1972 Received: January 13, 1972 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) P. E. Conner, The Neumann's problem for differential forms on Riemannian manifolds, Mem. Amer. Math. Soc., No. 20 (1956).
2) G. De Rham, Variété différentiables, Hermann, Paris, 1955.
3) L. Hörmander, Pseudo-differential operators, Comm. Pure Appl. Math., 18 (1965), 501-517.
4) J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Comm. Pure Appl. Math., 18 (1965), 269-305.
5) K. Kodaira, Harmonic fields in Riemannian manifolds, Ann. of Math., 50 (1949), 587-665.
6) Morrey, Jr., Multiple integral in the calculus of variation, Springer, Berlin, 1966.
7) L. Schwartz, Theorie des distributions, 3^e edition, Hermann, Paris.
8) B. Ju. Sternin, Elliptic and parabolic problems on manifolds with a boundary consisting of components of various dimensions, Trudy Moskov Mat. Obsc., 15 (1966), 346-382, Amer. Math. Soc. Translation.
9) M. I. Visik, On general boundary problems for elliptic differential equations, Trudy Moskov. Mat. Obsc., I, (1952), 187-246, Amer. Math. Soc. Translation, ser. 2, 24 (1963), 107-172.
10) H. Weyl, The method of orthogonal projection in potential theory, Duke Math. J., 7 (1940), 411-444.

Right : [1] P. E. Conner, The Neumann's problem for differential forms on Riemannian manifolds, Mem. Amer. Math. Soc., No. 20 (1956).
[2] G. De Rham, Variété différentiables, Hermann, Paris, 1955.
[3] L. Hörmander, Pseudo-differential operators, Comm. Pure Appl. Math., 18 (1965), 501-517.
[4] J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Comm. Pure Appl. Math., 18 (1965), 269-305.
[5] K. Kodaira, Harmonic fields in Riemannian manifolds, Ann. of Math., 50 (1949), 587-665.
[6] Morrey, Jr., Multiple integral in the calculus of variation, Springer, Berlin, 1966.
[7] L. Schwartz, Theorie des distributions, 3^e edition, Hermann, Paris.
[8] B. Ju. Sternin, Elliptic and parabolic problems on manifolds with a boundary consisting of components of various dimensions, Trudy Moskov Mat. Obsc., 15 (1966), 346-382, Amer. Math. Soc. Translation.
[9] M. I. Visik, On general boundary problems for elliptic differential equations, Trudy Moskov. Mat. Obsc., I, (1952), 187-246, Amer. Math. Soc. Translation, ser. 2, 24 (1963), 107-172.
[10] H. Weyl, The method of orthogonal projection in potential theory, Duke Math. J., 7 (1940), 411-444.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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