Taiji MARUGAME
| Division of General Education（Graduate School of Informatics and Engineering） | Associate Professor |
| Department of Computer and Network Engineering | Associate Professor |
| Cluster I (Informatics and Computer Engineering) | Associate Professor |
Researcher Information
Research Activity Information
Paper
- The Fefferman Metric for Twistor CR Manifolds and Conformal Geodesics in Dimension Three
Taiji Marugame
SIGMA Symmetry, Integrability and Geometry: Methods and Applications, SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 21, 090, 25 Oct. 2025, Peer-reviwed, We give an explicit description of the Fefferman metric for twistor CR manifolds in terms of Riemannian structures on the base conformal 3-manifolds. As an application, we prove that chains and null chains on twistor CR manifolds project to conformal geodesics, and that any conformal geodesic has lifts both to a chain and a null chain. By using this correspondence, we give a variational characterization of conformal geodesics in dimension three which involves the total torsion functional.
Scientific journal, English - Global secondary CR invariants in dimension five
Taiji Marugame
Differential Geometry and its Applications, Elsevier BV, 78, 101804-101804, Oct. 2021, Peer-reviwed
Scientific journal, English - Renormalized characteristic forms of the Cheng–Yau metric and global CR invariants
Taiji Marugame
Advances in Mathematics, Elsevier BV, 377, 107468-107468, Jan. 2021, Peer-reviwed
Scientific journal, English - Self-dual Einstein ACH metrics and CR GJMS operators in dimension three
Taiji Marugame
Pacific Journal of Mathematics, 301, 2, 519-546, 2019, Peer-reviwed
Scientific journal, English - Chains in CR geometry as geodesics of a Kropina metric
Jih-Hsin Cheng; Taiji Marugame; Vladimir S. Matveev; Richard Montgomery
Advances in Mathematics, 350, 973-999, 2019, Peer-reviwed
Scientific journal, English - Some remarks on the total CR Q and Q'-curvatures
Taiji Marugame
SIGMA Symmetry Integrability Geometry: Methods and Applications, 14, 010, 2018, Peer-reviwed
Scientific journal, English - Volume renormalization for the Blaschke metric on strictly convex domains
Taiji Marugame
Journal of Geometric Analysis, Springer New York LLC, 28, 1, 510-545, 2018, Peer-reviwed
Scientific journal, English - Variation of total Q-prime curvature on CR manifolds
Kengo Hirachi; Taiji Marugame; Yoshihiko Matsumoto
Advances in Mathematics, Academic Press Inc., 306, 1333-1376, 14 Jan. 2017, Peer-reviwed
Scientific journal, English - GJMS operators and Q-curvature for conformal Codazzi structures
Taiji Marugame
Differential Geometry and its Applications, 49, 176-196, Dec. 2016, Peer-reviwed
Scientific journal, English - Renormalized Chern-Gauss-Bonnet formula for complete Kähler-Einstein metrics
Taiji Marugame
American Journal of Mathematics, 138, 4, 1067-1094, 2016, Peer-reviwed
Scientific journal, English
