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Search Results: 1 - 10 of 3967 matches for " Ryosuke Takahashi "
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Modified K?hler-Ricci flow on projective bundles
Ryosuke Takahashi
Mathematics , 2014, DOI: 10.1007/s00209-015-1491-y
Abstract: In this paper, we propose a method of studying the modified Kahler-Ricci flow on projective bundles and give the explicit equation from the view point of symplectic geometry.
On the modified Futaki invariant of complete intersections in projective spaces
Ryosuke Takahashi
Mathematics , 2014,
Abstract: It is known that a necessary condition for the existence of K\"ahler-Ricci solitons is the vanishing of the modified Futaki invariant introduced by Tian-Zhu. In a recent work of Berman-Nystr\"om, it was generalized for (singular) Fano varieties and the notion of algebro-geometric stability of the pair $(M,V)$ of a Fano manifold $M$ and a holomorphic vector field $V$ was introduced. In this paper, we propose a method of computing the modified Futaki invariant for Fano complete intersections in projective spaces.
Asymptotic stability for K?hler-Ricci solitons
Ryosuke Takahashi
Mathematics , 2015, DOI: 10.1007/s00209-015-1518-4
Abstract: We show that the coercivity of the modified Ding functional leads to the existence of a certain kind of balanced metrics and their convergence to the K\"ahler-Ricci soliton modulo automorphisms. In our results, we do not assume that the vanishing of the higher order modified Futaki invariants introduced by Berman-Nystr\"om.
The moduli space of $S^1$-type zero loci for $\mathbb{Z}/2$-harmonic spinors in dimension 3
Ryosuke Takahashi
Mathematics , 2015,
Abstract: Let $M$ be a compact oriented 3-dimensional smooth manifold. In this paper, we will construct a moduli space consisting of the following date $\{(\Sigma, \psi)\}$ where $\Sigma$ is a $C^1$-embedding $S^1$ curve in $M$, $\psi$ is a $\mathbb{Z}/2$-harmonic spinor vanishing only on $\Sigma$ and $\|\psi\|_{L^2_1}=1$. We will prove that this moduli space can be parametrized by the space $\mathcal{X}=$ all Riemannian metrics on M locally as the kernel of a Fredholm operator.
An Ancient Solution of The Ricci Flow in Dimension 4 Converging to the Euclidean Schwarzschild Metric
Ryosuke Takahashi
Mathematics , 2012,
Abstract: In this paper, we prove the existence of an ancient solution to the Ricci flow whose limit at $t=-\infty$ is the Euclidean Schwarzschild metric.
Isocurvature Constraints and Anharmonic Effects on QCD Axion Dark Matter
Kobayashi, Takeshi;Kurematsu, Ryosuke;Takahashi, Fuminobu
High Energy Physics - Phenomenology , 2013,
Abstract: We revisit the isocurvature density perturbations induced by quantum fluctuations of the axion field by extending a recently developed analytic method and approximations to a time-dependent scalar potential, which enables us to follow the evolution of the axion until it starts to oscillate. We find that, as the initial misalignment angle approaches the hilltop of the potential, the isocurvature perturbations become significantly enhanced, while the non-Gaussianity parameter increases slowly but surely. As a result, the isocurvature constraint on the inflation scale is tightened as H_inf < 100 GeV for the axion decay constant f_a < 10^10 GeV, near the smaller end of the axion dark matter window. We also derive useful formulae for the power spectrum and non-Gaussianity of the isocurvature perturbations.
Isocurvature Constraints and Anharmonic Effects on QCD Axion Dark Matter
Takeshi Kobayashi,Ryosuke Kurematsu,Fuminobu Takahashi
Physics , 2013, DOI: 10.1088/1475-7516/2013/09/032
Abstract: We revisit the isocurvature density perturbations induced by quantum fluctuations of the axion field by extending a recently developed analytic method and approximations to a time-dependent scalar potential, which enables us to follow the evolution of the axion until it starts to oscillate. We find that, as the initial misalignment angle approaches the hilltop of the potential, the isocurvature perturbations become significantly enhanced, while the non-Gaussianity parameter increases slowly but surely. As a result, the isocurvature constraint on the inflation scale is tightened as Hinf < O(100) GeV for the axion decay constant fa < 10^10 GeV, near the smaller end of the axion dark matter window. We also derive useful formulae for the power spectrum and non-Gaussianity of the isocurvature perturbations.
Identification of the Neogenin-Binding Site on the Repulsive Guidance Molecule A
Takahide Itokazu, Yuki Fujita, Ryosuke Takahashi, Toshihide Yamashita
PLOS ONE , 2012, DOI: 10.1371/journal.pone.0032791
Abstract: Repulsive guidance molecule (RGM) is a membrane-bound protein that was originally identified as an axon guidance molecule in the chick retinotectal system. RGMa, one of the 3 isoforms found in mammals, is involved in laminar patterning, cephalic neural tube closure, axon guidance, and inhibition of axonal regeneration. In addition to its roles in the nervous system, RGMa plays a role in enhancing helper T-cell activation. Binding of RGM to its receptor, neogenin, is considered necessary to transduce these signals; however, information on the binding of RGM to neogenin is limited. Using co-immunoprecipitation studies, we have identified that the RGMa region required for binding to neogenin contains amino acids (aa) 259–295. Synthesized peptide consisting of aa 284–293 directly binds to the extracellular domain (ECD) of recombinant neogenin, and addition of this peptide inhibits RGMa-induced growth cone collapse in mouse cortical neurons. Thus, we propose that this peptide is a promising lead in finding reagents capable of inhibiting RGMa signaling.
Bone resorption in incompletely impacted mandibular third molars and acute pericoronitis
Minoru Yamaoka, Yusuke Ono, Masahiro Takahashi, Ryosuke Doto, et al.
Clinical, Cosmetic and Investigational Dentistry , 2009, DOI: http://dx.doi.org/10.2147/CCIDE.S4767
Abstract: one resorption in incompletely impacted mandibular third molars and acute pericoronitis Original Research (10232) Total Article Views Authors: Minoru Yamaoka, Yusuke Ono, Masahiro Takahashi, Ryosuke Doto, et al. Published Date April 2009 Volume 2009:1 Pages 7 - 12 DOI: http://dx.doi.org/10.2147/CCIDE.S4767 Minoru Yamaoka, Yusuke Ono, Masahiro Takahashi, Ryosuke Doto, Kouichi Yasuda, Takashi Uematsu, Kiyofumi Furusawa Matsumoto Dental University, School of Dentistry, Shiojiri, Nagano, Japan Abstract: Acute pericoronitis (AP) arises frequently in incompletely impacted mandibular third molars, but it remains unknown whether bone resorption in aging is associated with acute inflammation of the third molar. We conducted an experiment to compare the ratio of bone resorption to root length in the distal surface of the second molar (A), the proximal surface (B), and distal surface (C) in mesio-angular, incompletely impacted third molars in 27 young and 58 older adults with AP and 77 young and 79 older adults without a history of AP. Bone resorption in A, B, and C in older adults with AP demonstrated a significantly higher ratio when compared to those without AP, whereas there was no difference between those with and without AP in young adults except for B in women. However, there were no differences between bone resorption in B with AP in young and older women, and between bone resorption in C with AP in young and older adults. These indicate that AP and bone resorption are associated with incompletely impacted mandibular third molars in older adults.
Bone resorption in incompletely impacted mandibular third molars and acute pericoronitis
Minoru Yamaoka,Yusuke Ono,Masahiro Takahashi,Ryosuke Doto
Clinical, Cosmetic and Investigational Dentistry , 2009,
Abstract: Minoru Yamaoka, Yusuke Ono, Masahiro Takahashi, Ryosuke Doto, Kouichi Yasuda, Takashi Uematsu, Kiyofumi FurusawaMatsumoto Dental University, School of Dentistry, Shiojiri, Nagano, JapanAbstract: Acute pericoronitis (AP) arises frequently in incompletely impacted mandibular third molars, but it remains unknown whether bone resorption in aging is associated with acute inflammation of the third molar. We conducted an experiment to compare the ratio of bone resorption to root length in the distal surface of the second molar (A), the proximal surface (B), and distal surface (C) in mesio-angular, incompletely impacted third molars in 27 young and 58 older adults with AP and 77 young and 79 older adults without a history of AP. Bone resorption in A, B, and C in older adults with AP demonstrated a significantly higher ratio when compared to those without AP, whereas there was no difference between those with and without AP in young adults except for B in women. However, there were no differences between bone resorption in B with AP in young and older women, and between bone resorption in C with AP in young and older adults. These indicate that AP and bone resorption are associated with incompletely impacted mandibular third molars in older adults.Keywords: bone resorption, pericoronitis, mandible, acute inflammation, elderly
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