Prescribing growth type of complete Riemannian manifolds of bounded geometry

• Autorzy: Marek Badura
• Języki publikacji: EN

Abstrakty

EN

We describe certain properties of growth types of nondecreasing sequences. We build a complete, connected Riemannian surface of bounded geometry and of a given growth type provided that the type satisfies some natural conditions.

Słowa kluczowe

EN

growth type; bounded geometry; foliated manifold; dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2000
• Tom: 75
• Numer: 2
• Strony: 167-175

Daty

wydano

2000

otrzymano

2000-04-27

Twórcy

autor

Marek Badura

• Department of Mathematics, Łódź University, Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [CC] J. Cantwell and L. Conlon, Smoothing fractional growth, Tôhoku Math. J. 33 (1981), 249-262.
• [E] S. Egashira, Expansion growth of foliations, Ann. Fac. Sci. Toulouse 2 (1993), 15-52.
• [HH] G. Hector and U. Hirsch, Introduction to the Geometry of Foliations, Part B, Vieweg, 1983.
• [KN] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley-Interscience, New York, 1963.