Skip to main content
SpringerLink
Log in

Integral geometry under the action of the first symplectic group

  • Original paper
  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

We show a Poincaré formula of real surfaces in the quaternion numbers H, which we regard as the Euclidean space of dimension four, under the action of the semidirect product of Sp (1) and the parallel translations of H.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, Tsukuba-shi, Ibaraki, 305-8571 Japan, e-mail: tasaki@math.tsukuba.ac.jp, , , , , , JP

    Hiroyuki Tasaki

Authors
  1. Hiroyuki Tasaki
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 8 March 2001; revised manuscript accepted: 2 February 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tasaki, H. Integral geometry under the action of the first symplectic group. Arch.Math. 80, 106–112 (2003). https://doi.org/10.1007/s000130300011

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000130300011

Search

Navigation