| Ambient metric construction of Q-curvature in conformal and CR geometries C Fefferman, K Hirachi arXiv preprint math/0303184, 2003 | 166 | 2003 |
| The ambient obstruction tensor and Q-curvature CR Graham, K Hirachi AdS/CFT correspondence: Einstein metrics and their conformal boundaries 8, 59-71, 2005 | 91 | 2005 |
| Scalar pseudo-hermitian invariants and the Szegö kernel on three-dimensional CR manifolds K Hirachi Lecture Notes in Pure and Applied Mathematics, 67-67, 1993 | 90 | 1993 |
| Conformally invariant powers of the Laplacian—a complete nonexistence theorem A Gover, K Hirachi Journal of the American Mathematical Society 17 (2), 389-405, 2004 | 72 | 2004 |
| Construction of boundary invariants and the logarithmic singularity of the Bergman kernel K Hirachi Annals of Mathematics 151 (1), 151-191, 2000 | 67 | 2000 |
| Q-prime curvature on CR manifolds K Hirachi Differential Geometry and its Applications 33, 213-245, 2014 | 45 | 2014 |
| Variation of total Q-prime curvature on CR manifolds K Hirachi, T Marugame, Y Matsumoto Advances in Mathematics 306, 1333-1376, 2017 | 27 | 2017 |
| CR invariants of weight five in the Bergman kernel K Hirachi, G Komatsu, N Nakazawa Advances in Mathematics 143 (2), 185-250, 1999 | 23 | 1999 |
| Two methods of determining local invariants in the Szegö kernel K Hirachi, G Komatsu, N Nakazawa LECTURE NOTES IN PURE AND APPLIED MATHEMATICS, 77-77, 1993 | 23 | 1993 |
| The second variation of the Bergman kernel of ellipsoids K Hirachi | 22 | 1993 |
| Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains K Hirachi Annals of mathematics, 499-515, 2006 | 19 | 2006 |
| Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains K Hirachi Annals of mathematics, 499-515, 2006 | 19 | 2006 |
| Inhomogeneous ambient metrics CR Graham, K Hirachi Symmetries and overdetermined systems of partial differential equations, 403-420, 2008 | 15 | 2008 |
| The ambient obstruction tensor and Q-curvature CR Graham, K Hirachi arXiv preprint math/0405068, 2004 | 13 | 2004 |
| Invariant theory of the Bergman kernel of strictly pseudoconvex domains K Hirachi Sugaku Expositions 17 (2), 151-170, 2004 | 12 | 2004 |
| The ambient obstruction tensor and Q-curvature. AdS/CFT correspondence: Einstein metrics and their conformal boundaries, 59-71, IRMA Lect. Math CR Graham, K Hirachi Theor. Phys 8, 0 | 10 | |
| A link between the asymptotic expansions of the Bergman kernel and the Szegö kernel K Hirachi Complex Analysis in Several Variables—Memorial Conference of Kiyoshi Oka's …, 2004 | 9 | 2004 |
| Invariant theory of the Bergman kernel K Hirachi, G Komatsu Adv. Stud. Pure Math 25, 167-220, 1997 | 9 | 1997 |
| Transformation law for the Szego projectors on CR manifolds K Hirachi Osaka J. Math 27 (2), 301-308, 1990 | 8 | 1990 |
| Local Sobolev—Bergman Kernels of Strictly Pseudoconvex Domains K Hirachi, G Komatsu Analysis and Geometry in Several Complex Variables: Proceedings of the 40th …, 1999 | 7 | 1999 |
