Marugame TAIJI (丸亀泰二)

0120200_情報・ネットワーク工学専攻, 0120000_大学院情報理工学研究科, The University of Electro-Communications

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

The Fefferman Metric for Twistor CR Manifolds and Conformal Geodesics in Dimension Three

by Marugame TAIJI

公開済 25/10/2025

SIGMA Symmetry, Integrability and Geometry: Methods and Applications, 21, 090

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.

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

The Bonnet theorem for statistical manifolds

by Marugame TAIJI

公開済 12/2021

Information Geometry, 4, 2, 363 - 376

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Global secondary CR invariants in dimension five

by Marugame TAIJI

公開済 10/2021

Differential Geometry and its Applications, 78, 101804 - 101804

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Renormalized characteristic forms of the Cheng–Yau metric and global CR invariants

by Marugame TAIJI

公開済 01/2021

Advances in Mathematics, 377, 107468 - 107468

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Chains in CR geometry as geodesics of a Kropina metric

by Marugame TAIJI

公開済 2019

Advances in Mathematics, 350, 973 - 999

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Self-dual Einstein ACH metrics and CR GJMS operators in dimension three

by Marugame TAIJI

公開済 2019

Pacific Journal of Mathematics, 301, 2, 519 - 546

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Volume renormalization for the Blaschke metric on strictly convex domains

by Marugame TAIJI

公開済 2018

Journal of Geometric Analysis, 28, 1, 510 - 545

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Some remarks on the total CR Q and Q'-curvatures

by Marugame TAIJI

公開済 2018

SIGMA Symmetry Integrability Geometry: Methods and Applications, 14, 010

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

Variation of total Q-prime curvature on CR manifolds

by Marugame TAIJI

公開済 14/01/2017

Advances in Mathematics, 306, 1333 - 1376

ジャーナル論文 - rm_published_papers: Scientific Journal 査読済み

GJMS operators and Q-curvature for conformal Codazzi structures

by Marugame TAIJI

公開済 12/2016

Differential Geometry and its Applications, 49, 176 - 196