内容简介
ThefirsteditionofthisbookentitledAnalysisonRiemannianManifoldsandSomeProblemsofMathematicalPhysicswaspublishedbyVoronezhUniversityPressin1989.ForitsEnglishedition,thebookhasbeensubstantiallyrevisedandexpanded.Inparticular,newmaterialhasbeenaddedtoSections19and20.IamgratefultoViktorL.GinzburgforhishardworkonthetranslationandforwritingAppendixF,andtoTomaszZastawniakforhisnumeroussuggestions.Myspecialthanksgototherefereeforhisvaluableremarksonthetheoryofstochasticprocesses.Finally,IwouldliketoacknowledgethesupportoftheAMSfSUAidFundandtheInternationalScienceFoundation(GrantNZB000),whichmadepossiblemyworkonsomeofthenewresultsincludedintheEnglisheditionofthebook.