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スタッフ紹介

長瀬 正義 / Masayoshi Nagase

名誉教授

研究分野

幾何学

研究紹介・論文

幾何学の研究とは(サイテクコラム17) [pdf]

幾何学の研究とはII (サイテクコラム285) [pdf]

【最近の論文】

M. Nagase: Getzler’s symbol calculus and the composition of pseudodifferential operators on contact Riemannian manifolds, preprint, [pdf]

M. Nagase and T. Ohyama: Canonical Lorentzian spin structure and twistor spinors on the Fefferman space of a contact Riemannian manifold, preprint, Diff. Geom. and its Appl. 71(2020), No.101634.

M. Nagase and T. Shirakawa: A formula for the heat kernel coefficients of the Dirac Laplacians on spin manifolds, preprint, to appear in Tsukuba J. Math., [pdf].

M. Nagase: On the Chern-Moser connection in almost CR-geometry, preprint, [pdf].

M. Nagase: CR conformal Laplacian and some invariants on contact Riemannian manifolds, preprint, [pdf].

M. Nagase: A formula for the heat kernel coefficients on Riemannian manifolds, Tohoku Math. J. 72(2020), 261-282, [pdf].

R. Imai and M. Nagase: The second term in the asymptotics of Kohn-Rossi heat kernel on contact Riemannian manifolds, preprint, [pdf].

M. Nagase: The heat equation for the Kohn-Rossi Laplacian on contact Riemannian manifolds, preprint, [pdf].

M. Nagase: Dirac operators on the Fefferman spin spaces in almost CR-geometry, Osaka J. Math. 56(2019), 507-524.

M. Nagase: On the curvature of the Fefferman metric of contact Riemannian manifolds, Tohoku Math. J. 71(2019), 425-436, [pdf].

M. Nagase and D. Sasaki: Hermitian Tanno connection and Bochner type curvature tensors of contact Riemannian manifolds, J. Math. Sci. Univ. Tokyo 25(2018), 149-169.

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