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Volume 61 (2009)
- Issue 4 Pages 441-
- Issue 3 Pages 309-
- Issue 2 Pages 165-
- Issue 1 Pages 1-
Predecessor
Volume 61, Issue 4
Displaying 1-9 of 9 articles from this issue
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SEOUNG DAL JUNG, SOON CHAN KIM, JEONG HYEONG PARK2009Volume 61Issue 4 Pages 441-453
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSOn a transverse spin foliation, we give a new lower bound for the square of the eigenvalues of the basic Dirac operator by the smallest eigenvalue of the basic Yamabe operator. Moreover, the limiting foliation is transversally Einsteinian.View full abstractDownload PDF (130K) -
LINGLING KONG, DONGHE PEI2009Volume 61Issue 4 Pages 455-473
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSIn the paper, we will define tangent lightcone map, tangent lightcone curvature and tangent lightcone height function. Then we study the geometry of the timelike surfaces in Minkowski 4-space through their contact with spacelike hyperplane and give the classification of singularities of tangent lightcone map based on the Legendrian singularity theory of Arnol'd.View full abstractDownload PDF (249K) -
OSAMU FUJINO2009Volume 61Issue 4 Pages 475-481
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSKollár's effective base point free theorem for kawamata log terminal pairs is very important and was used in Hacon-McKernan's proof of pl flips. In this paper, we generalize Kollár's theorem for log canonical pairs.View full abstractDownload PDF (90K) -
YUICHI SHIOZAWA2009Volume 61Issue 4 Pages 483-497
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSWe consider a model of branching Brownian motions in random environment associated with the Poisson random measure. We find a relation between the slow population growth and the localization property in terms of the replica overlap. Applying this result, we prove that, if the randomness of the environment is strong enough, this model possesses the strong localization property, that is, particles gather together at small sets.View full abstractDownload PDF (138K) -
SHOUHEI HONDA2009Volume 61Issue 4 Pages 499-522
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSIn this paper, we give a generalization of Cheeger-Colding's suspension theorem for manifolds with almost maximal diameters. We also discuss a relationship between the eigenvalues of the Laplacian and the structure of tangent cones of non-collapsing limit spaces.View full abstractDownload PDF (206K) -
HIROSHI MORI, NORIO SHIMAKURA2009Volume 61Issue 4 Pages 523-550
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSEvery isometric immersion of $\mathbf{R}^2$ into $\mathbf{R}^4$ with vanishing normal curvature is assosiated with a pair of real-valued functions satisfying a system of second order partial differential equations of hyperbolic type, and vice versa. An isometric immersion with vanishing normal curvature is revealed to be multiple-valued in general as is shown by some concrete examples.View full abstractDownload PDF (257K) -
KUNIAKI HORIE, MITSUKO HORIE2009Volume 61Issue 4 Pages 551-570
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSFor any prime number $p$, we study local triviality of the ideal class group of the $\boldsymbol{Z}_p$-extension over the rational field. We improve a known general result in such study by modifying the proof of the result, and pursue known effective arguments on the above triviality with the help of a computer. Some explicit consequences of our investigations are then provided in the case $p\leq7$.View full abstractDownload PDF (178K) -
MASAYOSHI NAGASE2009Volume 61Issue 4 Pages 571-588
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSWe show that the Laplacian acting on differential forms on a sphere can be lifted to an operator on its rotation group which is intrinsically equivalent to the Laplacian acting on functions on the Lie group. Further, using the result and the Urakawa summation formula for the heat kernel of the latter Laplacian and the Weyl integration formula, we get a summation formula for the kernel of the former.View full abstractDownload PDF (179K) -
PIETRO CORVAJA, AARON LEVIN, UMBERTO ZANNIER2009Volume 61Issue 4 Pages 589-601
Published: December 30, 2009
Released on J-STAGE: July 25, 2013
JOURNAL FREE ACCESSWe prove sufficient conditions for the degeneracy of integral points on certain threefolds and other varieties of higher dimension. In particular, under a normal crossings assumption, we prove the degeneracy of integral points on an affine threefold with seven ample divisors at infinity. Analogous results are given for holomorphic curves. As in our previous works [2], [5], the main tool involved is Schmidt's Subspace Theorem, but here we introduce a technical novelty which leads to stronger results in dimension three or higher.View full abstractDownload PDF (125K)
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