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Volume 51 (1999)
- Issue 4 Pages 433-
- Issue 3 Pages 283-
- Issue 2 Pages 141-
- Issue 1 Pages 1-
Predecessor
Volume 51, Issue 4
Displaying 1-8 of 8 articles from this issue
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TSUTOMU YAMAZAKI1999Volume 51Issue 4 Pages 433-446
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper we introduce a process of making a fiber join of regular K-contact manifolds and then construct some explicit examples of K-contact flows which generate contact transformations of a torus. We also discuss the equivalence of these examples.View full abstractDownload PDF (667K) -
JORGE MOZO FERNÁNDEZ1999Volume 51Issue 4 Pages 447-460
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper, we study the sheaves \mathcal{A}_E<0 and \mathcal{A}_E<-κ of strongly asymptotically developable functions with null expansion, which are subsheaves of \mathcal{A} defined by Majima. Following the method developed in one variable by Sibuya, and in several variables by Majima, we compute the first cohomology group of the n-torus and the boundary of the real blow-up with coefficients in these sheaves. The same technique is used to study the multiplicative case (sheaves of non-abelian groups), in order to calculate the first cohomology set. This generalizes previous results of Majima, Haraoka and Zurro.View full abstractDownload PDF (511K) -
RYSZARD DESZCZ, FRANKI DILLEN, LEOPOLD VERSTRAELEN, LUC VRANCKEN1999Volume 51Issue 4 Pages 461-478
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe investigate Lagrangian submanifolds of the nearly K\"ahler 6-sphere. In particular we investigate Lagrangian quasi-Einstein submanifolds of the 6-sphere. We relate this class of submanifolds to certain tubes around almost complex curves in the 6-sphere.View full abstractDownload PDF (667K) -
MASAYUKI HIROKADO1999Volume 51Issue 4 Pages 479-487
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe show the existence of a Calabi-Yau threefold in characteristic 3 with its third Betti number zero. This example admits no lifting to characteristic zero and hence indicates that a theorem by Deligne that any K3 surface in positive characteristic has a lifting to characteristic zero cannot be generalized straightforward to the case of Calabi-Yau threefolds.View full abstractDownload PDF (367K) -
DAN ABRAMOVICH, KENJI MATSUKI, SULIMAN RASHID1999Volume 51Issue 4 Pages 489-537
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSBuilding upon a work of Morelli, we give a coherent presentation of Morelli's algorithm for the weak and strong factorization of toric birational maps. We also discuss its toroidal extension, which plays a crucial role in the recent solutions by W{\l}odarczyk and Abramovich-Karu-Matsuki-W{\l}odarczyk of the weak factorization conjecture of general birational maps.View full abstractDownload PDF (2053K) -
JUNYU WANG, WENJIE GAO1999Volume 51Issue 4 Pages 539-553
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSA rigorous mathematical analysis is given for a well-known problem for a third-order nonlinear ordinary differential equation, which arises in boundary layer theory in fluid mechanics and was firstly deduced by Falkner and Skan in 1930. It is proved that the problem is equivalent to a singular nonlinear two-point boundary value problem of second order. For the singular nonlinear boundary value problem, uniqueness, existence and nonexistence of positive solutions are established by utilizing a priori estimates, comparison principles and a modified shooting type method. These results are easily turned over to the original problem.View full abstractDownload PDF (508K) -
Dedicated to Professor Junji Kato on his sixtieth birthdayJONG SON SHIN, TOSHIKI NAITO1999Volume 51Issue 4 Pages 555-583
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSThis paper is concerned with a general existence and continuous dependence of mild solutions to semilinear functional differential equations with infinite delay in Banach spaces. In particular, our results are applicable to the equations whose C_0-semigroups and nonlinear operators, defined on an open set, are noncompact.View full abstractDownload PDF (988K) -
ANTHONY SMALL1999Volume 51Issue 4 Pages 585-601
Published: December 01, 1999
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSMuch is known about the geometry of a minimal surface in Euclidean space whose Gauss map takes values on a linear subspace of the quadric hypersurface. We consider minimal surfaces whose Gauss maps take values on rational normal curves. These are the non-degenerate minimal surfaces with smallest possible Gaussian images. We show that the geometry of such a minimal surface may be understood in terms of an auxiliary holomorphic curve on the total space of a line bundle over the Gaussian image. This is related to classical osculation duality. Natural analogues in higher dimensions of Enneper's surface, Henneberg's surface and surfaces with Platonic symmetries are described in terms of algebraic curves.View full abstractDownload PDF (798K)
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