Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Kenro FURUTANI"'
Autor:
Kurando BABA, Kenro FURUTANI
Publikováno v:
Journal of the Mathematical Society of Japan. 74
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc583c11987545b44f33e29e19447b1b
https://doi.org/10.2969/jmsj/86638663
https://doi.org/10.2969/jmsj/86638663
Autor:
Kenro Furutani, Irina Markina
Publikováno v:
Journal of Algebra
In the present paper, we determine the group of automorphisms of pseudo $H$-type Lie algebras, which are two-step nilpotent Lie algebras closely related to the Clifford algebras $\Cl(\mathbb R^{r,s})$.
38 pages, several tables. arXiv admin note:
38 pages, several tables. arXiv admin note:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98a26f02632582c24eb773cc22370a44
https://doi.org/10.1016/j.jalgebra.2020.09.038
https://doi.org/10.1016/j.jalgebra.2020.09.038
Publikováno v:
Differential Geometry and its Applications. 53:114-136
We construct a codimension 3 completely non-holonomic subbundle on the Gromoll–Meyer exotic 7-sphere based on its realization as a base space of a Sp ( 2 ) -principal bundle with the structure group Sp ( 1 ) . The same method can be applied to cons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26a18394afb557b41f8018d0fd97d823
https://doi.org/10.1016/j.difgeo.2017.05.010
https://doi.org/10.1016/j.difgeo.2017.05.010
Publikováno v:
Applicable Analysis. 96:2390-2407
In this note, we explain a relation between the Popp measures of sub-Riemannian structures on the total space of a principal bundle and the base manifold. Then we determine several concrete cases explicitly.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::285bf95b262b36c8b006798fc4d40ae3
https://doi.org/10.1080/00036811.2017.1333602
https://doi.org/10.1080/00036811.2017.1333602
Autor:
Irina Markina, Kenro Furutani
Publikováno v:
Geometriae Dedicata. 190:23-51
Let \({\mathscr {N}}\) be a 2-step nilpotent Lie algebra endowed with a non-degenerate scalar product \(\langle .\,,.\rangle \), and let \({\mathscr {N}}=V\oplus _{\perp }Z\), where Z is the centre of the Lie algebra and V its orthogonal complement.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77f9d8e16e28cfcd264e3b8307d1d40b
https://doi.org/10.1007/s10711-017-0225-1
https://doi.org/10.1007/s10711-017-0225-1
We determine the spectrum of the sub-Laplacian on pseudo H-type nilmanifolds and present pairs of isospectral but non-homeomorphic nilmanifolds with respect to the sub-Laplacian. We observe that these pairs are also isospectral with respect to the La
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df40057f66ebd768cbb35c82e4873fb6
Publikováno v:
Advances in Mathematics. 277:283-337
By employing a new reduction procedure we derive explicit expressions for the fundamental solutions of a family P k , λ of degenerate second order differential operators on R N + l . Here λ is a complex parameter located in the strip | Re ( λ ) |
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db5574e4971f043b4d8c4fd225ef3b42
https://doi.org/10.1016/j.aim.2014.12.041
https://doi.org/10.1016/j.aim.2014.12.041
Publikováno v:
Advances in Mathematics. 271:188-234
We examine a class of Grushin type operators P k where k ∈ N 0 defined in (1.1). The operators P k are non-elliptic and degenerate on a sub-manifold of R N + l . Geometrically they arise via a submersion from a sub-Laplace operator on a nilpotent L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d75b61f7c360a61ea21aede8bbc9d2e5
https://doi.org/10.1016/j.aim.2014.11.017
https://doi.org/10.1016/j.aim.2014.11.017
Publikováno v:
Bulletin des Sciences Mathématiques. 137(3):361-385
We classify the trivializable sub-Riemannian structures on odd-dimensional spheres S N that are induced by a Clifford module structure of R N + 1 . The underlying bracket generating distribution is of step two and spanned by a set of global linear ve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3ef2a663b8efe4b978da150942eb8a08
Publikováno v:
Journal of Geometry and Physics. 62:1949-1976
The purpose of this paper is to discuss how we can construct the heat kernel for (sub)-Laplacian in an explicit (integral) form in terms of a certain class of special functions. Of course, such cases will be highly limited. Here we only treat a typic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd897b9866b6a3cd9ca733164a974560
https://doi.org/10.1016/j.geomphys.2012.04.004
https://doi.org/10.1016/j.geomphys.2012.04.004