Quick search Find article
Quick search
Find article

Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces

A V Shchepetilov

Show affiliations


Let G be the identity component of the isometry group for an arbitrary curved two-point homogeneous space M. We consider algebras of G-invariant differential operators on bundles of unit spheres over M. The generators of this algebra and the corresponding relations for them are found. The connection of these generators with the two-body problem on two-point homogeneous spaces is discussed.


PACS

02.40.Ky Riemannian geometries

02.20.Qs General properties, structure, and representation of Lie groups

03.65.Fd Algebraic methods

02.40.Vh Global analysis and analysis on manifolds

MSC

22F30 Homogeneous spaces (For general actions on manifolds or preserving geometrical structures, see 57M60, 57Sxx; for discrete subgroups of Lie groups see especially 22E40)

16S32 Rings of differential operators (See also 13N10, 32C38)

43A85 Analysis on homogeneous spaces

70F05 Two-body problems

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 26 (4 July 2003)

Received 11 February 2003, in final form 9 May 2003

Published 18 June 2003



  1. Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces

    A V Shchepetilov 2003 J. Phys. A: Math. Gen. 36 7361

  2. Quantum computing

    Andrew Steane 1998 Rep. Prog. Phys. 61 117

  3. LTP interferometer—noise sources and performance

    David Robertson et al 2005 Class. Quantum Grav. 22 S155

  4. Phase locking to a LISA arm: first results on a hardware model

    Antonio F García Marín et al 2005 Class. Quantum Grav. 22 S235

  5. Low-frequency gravitational radiation from coalescing massive black holes

    A Sesana et al 2005 Class. Quantum Grav. 22 S363

  6. Characterization of disturbance sources for LISA: torsion pendulum results

    L Carbone et al 2005 Class. Quantum Grav. 22 S509

  7. Advanced gravitational reference sensor for high precision space interferometers

    Ke-Xun Sun et al 2005 Class. Quantum Grav. 22 S287

  8. MiniGRAIL progress report 2004

    A de Waard et al 2005 Class. Quantum Grav. 22 S215

  9. Impact of LISA's low-frequency sensitivity on observations of massive black-hole mergers

    J Baker and J Centrella 2005 Class. Quantum Grav. 22 S355

  10. Wavefront distortion and beam pointing for LISA

    Peter L Bender 2005 Class. Quantum Grav. 22 S339

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions
  2. New properties of arithmetic groups
  3. Integrable billiards and quadrics
More

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.