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Volume 50 (1998)
- Issue 4 Pages 455-
- Issue 3 Pages 317-
- Issue 2 Pages 159-
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Predecessor
Volume 50, Issue 4
Displaying 1-11 of 11 articles from this issue
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HYEONG IN CHOI, DOO SEOK LEE, JOUNG-HAHN YOON1998 Volume 50 Issue 4 Pages 455-467
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe study the geometry of the cut locus of a separating fractal set A in a Riemannian manifold. In particular, we prove that every point of A is a limit point of the cut locus C(A) of A, and the Hausdorff dimension of C(A) is greater than or equal to that of A. Furthermore, we study the cut locus of the well-known Koch snowflake, and show the Hausdorff dimension of its cut locus is log6/log3 which is greater than the Hausdorff dimension, log4/log3, of the Koch snowflake itself. We also give another example for which the Hausdorff dimension of the cut locus stays the same. These two new examples are new fractal objects which are of interest on their own right.View full abstractDownload PDF (586K) -
ZHI-JIE CHEN1998 Volume 50 Issue 4 Pages 469-489
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSFor a relatively minimal hyperelliptic fibration, the best bounds of the orders of its automorphism group are obtained.View full abstractDownload PDF (565K) -
LUIS J. ALÍAS, RAFAEL LÓPEZ, JOSÉ A. PASTOR1998 Volume 50 Issue 4 Pages 491-501
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper we develop some integral formulas for compact spacelike surfaces (necessarily with non-empty boundary) with constant mean curvature in the Lorentz-Minkowski three-space. As an application of this, when the boundary is a circle, we prove that the only such surfaces are the planar discs and the hyperbolic caps. By means of an appropriate maximum principle, we also obtain a uniqueness result for compact spacelike surfaces with constant mean curvature whose boundary projects onto a planar Jordan curve contained in a spacelike plane.View full abstractDownload PDF (498K) -
VLADIMIR M. MIKLYUKOV, MATTI VUORINEN1998 Volume 50 Issue 4 Pages 503-511
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe show that under a condition on the Dirichlet integral, Sobolev functions with zero boundary values at the points of a set of positive capacity are identically zero.View full abstractDownload PDF (232K) -
Shiwang MA, Jianshe YU, Zhicheng WANG1998 Volume 50 Issue 4 Pages 513-529
Published: 1998
Released on J-STAGE: March 18, 2014
JOURNAL FREE ACCESSBy using the alternative method and the topological degree theory, we obtain some sufficient conditions for the existence of 2π-periodic solutions of some semilinear equations at resonance where the kernel of the linear part has an arbitrary dimension.View full abstractDownload PDF (862K) -
RYOICHI TAKAGI, IN-BAE KIM, BYUNG HAK KIM1998 Volume 50 Issue 4 Pages 531-536
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe prove a rigidity theorem for real hypersurfaces in a complex projective space of complex dimension n≥4. As an application of this rigidity theorem, we classify all intrinsically homogeneous real hypersurfaces in the complex projective space.View full abstractDownload PDF (208K) -
MASA-NORI ISHIDA, FUMIHARU KATO1998 Volume 50 Issue 4 Pages 537-555
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this paper, we present a purely algebraic proof of the strong rigidity for non-Archimedean uniformization, in case the base ring is of characteristic zero. In the last section, we apply this result to Mumford's construction of fake projective planes. In view of recent result on discrete groups by Cartwright, Mantero, Steger and Zappa, we see that there exist at least three fake projective planes.View full abstractDownload PDF (829K) -
CHRISTOPHER MEANEY, ELENA PRESTINI1998 Volume 50 Issue 4 Pages 557-570
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant Lp functions on a noncompact rank one Riemannian symmetric space. Following a technique of Kanjin, we show that this result is sharp.View full abstractDownload PDF (417K) -
JIN-ICHI ITOH, MINORU TANAKA1998 Volume 50 Issue 4 Pages 571-575
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSIn this note we prove that the Hausdorff dimension of a cut locus on a smooth Riemannian manifold is an integer.View full abstractDownload PDF (228K) -
Dedicated to Professor Kyuya Masuda on his sixtieth birthdayKENJI YAJIMA1998 Volume 50 Issue 4 Pages 577-595
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSWe show that the fundamental solution of the initial value problem for the time dependent SchrÖdinger equation is bounded and continuous for a class of non-smooth potentials. The class is large enough to accomodate Coulomb potentials if the spatial dimension is three.View full abstractDownload PDF (654K) -
MITSURU SUGIMOTO1998 Volume 50 Issue 4 Pages 597-611
Published: December 01, 1998
Released on J-STAGE: May 22, 2009
JOURNAL FREE ACCESSThe asymptotic distribution of eigenvalues of elliptic self-adjoint operators on the flat torus is discussed. A relation between a geometrical property of the operators and the error terms in the distribution formulas is given in the case when the operators have constant coefficients. As a corollary, the error terms can be determined only by the order of the operators and the dimension of the torus. This result also gives an information on the number of lattice points inside convex or nonconvex bodies in Rn.View full abstractDownload PDF (468K)
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