Skip to main content
SpringerLink
Log in

Quasi-regular boundary and Stokes' formula for a sub-analytic leaf

  • Conference paper
  • First Online:
Book cover Seminar on Deformations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1165))

Abstract

The aim of this paper is to prove some differential properties of sub-analytic leaves related to the conditions of Whitney, and to derive Stokes' formula for sub-analytic leaves.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. BUNGART, L., Stokes' Theorem on real analytic varieties, Proc. Nat. Acad. U.S.A. 54 (1965), 343–344.

    Article  MathSciNet  MATH  Google Scholar 

  2. DENKOWSKA, Z., S. ŁOJASIEWICZ, and J. STASICA, Certaines propriétés élémentaires des ensembles sous-analytiques, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys. 27 (1979), 529–535.

    MATH  Google Scholar 

  3. —, —, and —, Sur le théorème du complémentaire pour les ensembles sous-analytiques, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys. 27 (1979), 537–539.

    MATH  Google Scholar 

  4. — and K. WACHTA, La sous-analycité de l'application tangente, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 30 (1982), 329–331.

    MathSciNet  MATH  Google Scholar 

  5. HERRERA, M., Integration on a semi-analytic set, Bull. Soc. Math. France 94 (1966), 141–180.

    MathSciNet  MATH  Google Scholar 

  6. HIRONAKA, H., Subanalytic sets, in: Number theory, algebraic geometry and commutative algebra, in honour of Y. Akizuki; Kinokuniya, Tokyo 1973, pp. 453–493.

    Google Scholar 

  7. KURDYKA, K., Regular points of sub-analytic sets, Thesis, Jagiellonian University, Cracow.

    Google Scholar 

  8. ŁOJASIEWICZ, S., Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette 1965.

    Google Scholar 

  9. PAWŁUCKI, W., Le théorème de Puiseux pour une application sousanalytique, Bull. Acad. Polon. Sci., to appear.

    Google Scholar 

  10. de RHAM, G., Variétés différentiables, Hermann, Paris 1960.

    MATH  Google Scholar 

  11. STASICA, J., Whitney's condition for sub-analytic sets, Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne No 23, Cracow 1982.

    Google Scholar 

  12. TAMM, M., Subanalytic sets in the calculus of variation, Acta Math. 146 (1981), 1–2.

    Article  MathSciNet  MATH  Google Scholar 

  13. WHITNEY, H., Tangents to an analytic variety, Ann. of Math. (2) 81 (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, PL-30-059, Kraków, Poland

    Wiesław Pawłucki

Authors
  1. Wiesław Pawłucki
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Julian Ławrynowicz

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Pawłucki, W. (1985). Quasi-regular boundary and Stokes' formula for a sub-analytic leaf. In: Ławrynowicz, J. (eds) Seminar on Deformations. Lecture Notes in Mathematics, vol 1165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076157

Download citation

  • DOI: https://doi.org/10.1007/BFb0076157

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16050-2

  • Online ISBN: 978-3-540-39734-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation