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.
Keywords
- Regular Point
- Analytic Submanifold
- Regular Boundary Point
- Topological Component
- Real Finite Dimensional Vector Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
BUNGART, L., Stokes' Theorem on real analytic varieties, Proc. Nat. Acad. U.S.A. 54 (1965), 343–344.
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.
—, —, and —, Sur le théorème du complémentaire pour les ensembles sous-analytiques, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys. 27 (1979), 537–539.
— and K. WACHTA, La sous-analycité de l'application tangente, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astr. Phys. 30 (1982), 329–331.
HERRERA, M., Integration on a semi-analytic set, Bull. Soc. Math. France 94 (1966), 141–180.
HIRONAKA, H., Subanalytic sets, in: Number theory, algebraic geometry and commutative algebra, in honour of Y. Akizuki; Kinokuniya, Tokyo 1973, pp. 453–493.
KURDYKA, K., Regular points of sub-analytic sets, Thesis, Jagiellonian University, Cracow.
ŁOJASIEWICZ, S., Ensembles semi-analytiques, I.H.E.S., Bures-sur-Yvette 1965.
PAWŁUCKI, W., Le théorème de Puiseux pour une application sousanalytique, Bull. Acad. Polon. Sci., to appear.
de RHAM, G., Variétés différentiables, Hermann, Paris 1960.
STASICA, J., Whitney's condition for sub-analytic sets, Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Prace Matematyczne No 23, Cracow 1982.
TAMM, M., Subanalytic sets in the calculus of variation, Acta Math. 146 (1981), 1–2.
WHITNEY, H., Tangents to an analytic variety, Ann. of Math. (2) 81 (1965).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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
