Titlebook: Geometry of Foliations; Philippe Tondeur Book 1997 Springer Basel AG 1997 Finite.Mean curvature.Riemannian geometry.curvature.differential

necrosis

書目名稱Geometry of Foliations影響因子(影響力)




書目名稱Geometry of Foliations影響因子(影響力)學科排名




書目名稱Geometry of Foliations網(wǎng)絡公開度




書目名稱Geometry of Foliations網(wǎng)絡公開度學科排名




書目名稱Geometry of Foliations被引頻次




書目名稱Geometry of Foliations被引頻次學科排名




書目名稱Geometry of Foliations年度引用




書目名稱Geometry of Foliations年度引用學科排名




書目名稱Geometry of Foliations讀者反饋




書目名稱Geometry of Foliations讀者反饋學科排名

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978-3-0348-9825-6Springer Basel AG 1997

不愛防注射

Geometry of Foliations978-3-0348-8914-8Series ISSN 1017-0480 Series E-ISSN 2296-4886

CLAY

Zusammengefa?te MetaphorisierungenThe simplest examples of foliations of codimension one are the level surfaces of a function. → ? with no critical points. This is of course only possible for a noncompact manifold .. The one-form ω = . is thus assumed nonsingular, i.e. ω. ≠ O for all . ∈..

artifice

,Einführung in die Lineare Algebra,A Riemannian metric.on the normal bundle.of a foliation . is holonomy invariant, if..Here we have by definition for...A Riemannian foliation is a foliation . with a holonomy invariant transversal metric . The study of these foliations was initiated by Reinhart in 1959 [Re 2].

formula

Grenzwerte und Stetigkeit von Funktionen,In this chapter we discuss the case of tangentially oriented 1-dimensional foliations, in which many of the previously discussed concepts take a particularly simple form.

formula

https://doi.org/10.1007/978-3-8348-9223-2Throughout this chapter . denotes a transversally oriented Riemannian foliation on a closed oriented manifold .. We discuss Hodge theory and a duality theorem for the cohomology of basic forms [K-To 10,12].

不整齊

,Einführung in die Lineare Algebra,A Lie foliation is a foliation whose transversal structure is modeled on a Lie group. These were initially studied by Fedida [Fe 1] and Molino [Mo 5,8].

outset

Amplify

https://doi.org/10.1007/978-3-322-92891-7We begin this chapter with the description of the concept of the graph of a foliation, and then describe Connes’ view of foliations in the context of noncommutative spaces.