Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

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Volume 14, Issue 1

Displaying 1-8 of 8 articles from this issue

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A note on Carathéodory and Kobayashi pseudodistances

Kazuo Azukawa

1991 Volume 14 Issue 1 Pages 1-12
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039337

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Lie contact structures and normal Cartan connections

Reiko Miyaoka

1991 Volume 14 Issue 1 Pages 13-41
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039338

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Lie contact structures and conformal structures

Reiko Miyaoka

1991 Volume 14 Issue 1 Pages 42-71
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039339

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Foundations of calculus on super Euclidean space \mathscr{R}^m|n based on a Fréchet-Grassmann algebra

Atsushi Inoue, Yoshiaki Maeda

1991 Volume 14 Issue 1 Pages 72-112
Published: 1991
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138039340

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We define a Fréchet-Grassmann algebra with infinitely many generators as the supernumber algebra. Using this, we define a so-called super Euclidean space and may develop elementary analysis on it. In doing this, we clarify the relation between Grassmann generators and odd variables. Moreover, we construct a certain Hamilton flow on the super Euclidean space, corresponding to the ‘classical’ orbit of the Pauli equation, for which we define the action integral, van Vleck determinant etc. as similar as we do on the Euclidean space.

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Real zeros of solutions of second order linear differential equations

Cun-Zhi Huang

1991 Volume 14 Issue 1 Pages 113-122
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039341

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On factorization of entire functions satisfying differential equations

Hironobu Urabe, Chung-Chun Yang

1991 Volume 14 Issue 1 Pages 123-133
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039342

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We are concerned with the factorization (in the composite sense) of f(z), where f(z) is an entire function that satisfies a differential equation with polynomials or functions of exponential type as the coefficients. Some sufficient conditions for the forms and pseudo-primeness of f(z) have been established and some known results have been generalized.

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Essential sets of Picard principle for rotation free densities

Toshimasa Tada

1991 Volume 14 Issue 1 Pages 134-143
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039343

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Self maps of Σ^kCP³ for k{≥}1

Kohhei Yamaguchi

1991 Volume 14 Issue 1 Pages 144-162
Published: 1991
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039344

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