Examples of a complex hyperpolar action without singular orbit
-
Naoyuki Koike
koike@ma.kagu.tus.ac.jp
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000200009Abstract
The notion of a complex hyperpolar action on a symmetric space of non-compact type has recently been introduced as a counterpart to the hyperpolar action on a symmetric space of compact type. As examples of a complex hyperpolar action, we have Hermann type actions, which admit a totally geodesic singular orbit (or a fixed point) except for one example. All principal orbits of Hermann type actions are curvature-adapted and proper complex equifocal. In this paper, we give some examples of a complex hyperpolar action without singular orbit as solvable group free actions and find complex hyperpolar actions all of whose orbits are non-curvature-adapted or non-proper complex equifocal among the examples. Also, we show that some of the examples possess the only minimal orbit.
Keywords
Most read articles by the same author(s)
- Naoyuki Koike, Mean curvature flow of certain kind of isoparametric foliations on non-compact symmetric spaces , CUBO, A Mathematical Journal: Vol. 20 No. 3 (2018)
Similar Articles
- Luiz Antonio Pereira Gomes, Eduardo Brandani da Silva, A Characterization of the Product Hardy Space 𻹠, CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Violeta Petkova, Spectral results for operators commuting with translations on Banach spaces of sequences on Zᴷ and Z⺠, CUBO, A Mathematical Journal: Vol. 14 No. 3 (2012): CUBO, A Mathematical Journal
- Alexander Pankov, Discrete almost periodic operators , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Donal O‘Regan, Reza Saadati, â„’ -Random and Fuzzy Normed Spaces and Classical Theory , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Mahmoud Benkhalifa, Note on the \(F_{0}\)-spaces , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- A. Bultheel, H. Mart´Ä±nez, An introduction to the Fractional Fourier Transform and friends , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Spencer Bloch, Helene Esnault, Congruences for the Number of Rational Points, Hodge Type and Motivic Conjectures for Fano Varieties , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Mohd Danish Siddiqi, Aliya Naaz Siddiqui, Ali H. Hakami, M. Hasan, Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds , CUBO, A Mathematical Journal: Vol. 25 No. 3 (2023)
- S. S. Dragomir, Several inequalities for an integral transform of positive operators in Hilbert spaces with applications , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
