A pseudo-inverse of the fundamental form and its application to affine immersions of non-degenerate surfaces

Author:

Ishii Ryuji1

Affiliation:

1. Department of Mathematics, Faculty of Science, Tokyo University of Science 26 Wakamiya-cho, Shinjuku-ku Tokyo 162-0827, Japan

Publisher

SUT Journal of Mathematics - Tokyo University of Science

Subject

General Mathematics

Reference15 articles.

1. [1] Abe, N., Geometry of certain first order differential operators and its applications to general connections, Kodai Math. J. 8 (1985) 322–329.

2. [2] Abe, N. and Ishii, R., A splitting of vector bundles with connection and pseudo-inverse of the fundamental form, preprint

3. [3] Burstin, C. and Mayer, W., Die Geometrie zweifach ausgedehnter Mannigfaltigkeiten F2 im affinen Faum R4, Math. Z. 27 (1927) 373–407.

4. [4] Decruyenaere, F., Dillen, F., Vranceken, L. and Verstraelen, L., Affine surfaces in 5, Internat. J. Math. 5 (1994) 657–679.

5. [5] Koike, N. and Takekuma, K., Equiaffine immersions of general codimension and its transversal bolume element map, Results in Math. 39 (2001), 274–291.

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