[日本語]
Papers
Papers
[日本語]
8. M. Morimoto, The parallel transport map over reductive homogeneous space, OCAMI Pre. Ser. 25-4, submitted.
7. M. Morimoto, Non-existence of exceptional orbits under polar actions on Hilbert spaces, arXiv:2307.02782.
6. M. Morimoto, The parallel transport map over affine symmetric space, J. Geom. Anal. 35, 342 (2025). (preprint)
5. M. Morimoto, The canonical isomorphism between path spaces and principal curvatures of PF submanifolds, Tokyo J. Math. 48 (2025), no. 1, 43--70. (preprint | previous ver. )
4. M. Morimoto, Curvatures and austere property of orbits of path group actions induced by Hermann actions, Transform. Groups 29, 1587--1621 (2024). (Online first: May 2022) (Preprint)
3. M. Morimoto, On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces, Tokyo J. Math. 44 (2021), no. 2, 467--476. (Preprint)
2. M. Morimoto, Austere and arid properties for PF submanifolds in Hilbert spaces, Differential Geom. Appl. 69 (2020), 101613, 24 pp. (Preprint)
1. M. Morimoto, On weakly reflective PF submanifolds in Hilbert spaces, Tokyo J. Math. 44 (2021), no. 1, 103--124. (Preprint)
M. Morimoto, Minimal PF submanifolds in Hilbert spaces with symmetries, Ph.D. Thesis. doi/10.24544/ocu.20200615-005
18. 森本 真弘，平行移動写像と弱鏡映部分多様体のアファイン微分幾何学，第72回 幾何学シンポジウム 予稿集 (2025)，90--94．
17. M. Morimoto, The parallel transport map over affine symmetric space, OCAMI Reports, Vol. 7 (2024), 214--227.
16. M. Morimoto, Proper Fredholm submanifolds and affine Kac-Moody symmetric spaces, RIMS Kôkyûroku, No. 2278 (2024) 90--100. Preprint
15. 森本真弘，ヒルベルト空間への極作用における例外軌道の非存在，研究集会「部分多様体幾何とリー群作用2023」記録集 (2024)，1--7.
14. M. Morimoto, Submanifold geometry of orbits of polar actions on Hilbert spaces and its application, Proceedings of The 24th International Workshop on Differential Geometry & Related Fields 24(2023) 317--326
13. 森本真弘，Hermann 作用から誘導されるpath群作用の軌道の幾何学，研究集会「部分多様体幾何とリー群作用2021」記録集(2022)．
12. 森本真弘，Hermann 作用から誘導されるpath群作用の軌道の幾何学，第69回 幾何学シンポジウム 予稿集 (2022)，72--26．
11. M. Morimoto, On the converse problem for austere orbits of path group actions induced by Hermann actions, Proceedings of The 23rd International Differential Geometry Workshop on Submanifolds in Homogeneous Spaces ＆ Related Topics 23 (2021), 157--165.
10. M. Morimoto, Minimal PF submanifolds in Hilbert spaces with symmetries, OCAMI Reports, Vol. 2 (2021), 78--100.
9. M. Morimoto, On minimal PF submanifolds in Hilbert spaces with symmetries, OCAMI Reports, Vol. 1 (2021), 40--41.
8. M. Morimoto, On the geometry of orbits of path group actions induced by Hermann actions, 部分多様体オンライン2020, 報告集(2021)．PDF
7. 森本真弘，対称性をもつ極小PF部分多様体について，研究集会「部分多様体幾何とリー群作用2019」予稿集 pp. 27--34.
6. 森本真弘，ヒルベルト空間の弱鏡映PF部分多様体について, 第66回幾何学シンポジウム予稿集, pp. 100-104 (2019). PDF
5. 森本真弘, ヒルベルト空間の弱鏡映部分多様体について, 研究集会「第2回数理新人セミナー」報告集 (2019). PDF
4. 森本真弘, ヒルベルト空間の弱鏡映部分多様体について, 研究集会「部分多様体論・湯沢2018」報告集 (2018). PDF
3. M. Morimoto, The spectral properties of transversally elliptic operators and some applications, Proceedings of The 21st International Workshop on Hermitian Symmetric Spaces and Submanifolds 21 (2017).
2. 森本真弘, コンパクト・リー群の表現と横断的楕円型作用素, 研究集会「第14回城崎新人セミナー」報告集 (2017).
1. M. Morimoto, The heat operator of a transversally elliptic operator, JP Journal of Geometry and Topology, 20, Issue 4 (2017), 369--408.