Pub Date : 1900-01-01DOI: 10.1016/S0924-6509(09)70257-0
F. Browder
{"title":"Uniqueness of the Mapping Degree for Elliptic Operators with Strong Zero Order Nonlinearities","authors":"F. Browder","doi":"10.1016/S0924-6509(09)70257-0","DOIUrl":"https://doi.org/10.1016/S0924-6509(09)70257-0","url":null,"abstract":"","PeriodicalId":293797,"journal":{"name":"North-holland Mathematical Library","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127445211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/S0924-6509(01)80047-7
T. Ericson, V. Zinoviev
{"title":"Chapter 2 - The linear programming bound","authors":"T. Ericson, V. Zinoviev","doi":"10.1016/S0924-6509(01)80047-7","DOIUrl":"https://doi.org/10.1016/S0924-6509(01)80047-7","url":null,"abstract":"","PeriodicalId":293797,"journal":{"name":"North-holland Mathematical Library","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125685458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Publisher Summary This chapter discusses the contact and equivalence of submanifolds of homogeneous spaces. The chapter states a generalization of Frobenius theorem to differential systems defined by contact elements of higher order. This theorem is the main tool in the proof of equivalence theorem. The chapter proves the equivalence theorem. The chapter provides a necessary and sufficient condition for a submanifold S ⊂ M to be an open set of an orbit of a Lie subgroup L of G . This theorem can be generalized to characterize the submanifolds S of M that are locally invariant by the action of a Lie subgroup L of G and that are fibered by the orbits of L which meet S . The chapter also discusses the curves in ℝ 3 .
{"title":"Contact and equivalence of submanifolds of homogeneous spaces","authors":"A. A. M. Rodrigues","doi":"10.4064/BC76-0-9","DOIUrl":"https://doi.org/10.4064/BC76-0-9","url":null,"abstract":"Publisher Summary This chapter discusses the contact and equivalence of submanifolds of homogeneous spaces. The chapter states a generalization of Frobenius theorem to differential systems defined by contact elements of higher order. This theorem is the main tool in the proof of equivalence theorem. The chapter proves the equivalence theorem. The chapter provides a necessary and sufficient condition for a submanifold S ⊂ M to be an open set of an orbit of a Lie subgroup L of G . This theorem can be generalized to characterize the submanifolds S of M that are locally invariant by the action of a Lie subgroup L of G and that are fibered by the orbits of L which meet S . The chapter also discusses the curves in ℝ 3 .","PeriodicalId":293797,"journal":{"name":"North-holland Mathematical Library","volume":"2015 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132319514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/S0924-6509(09)70279-X
P. Krée
{"title":"A Remark on Paul Levy's Stochastic Area Formula","authors":"P. Krée","doi":"10.1016/S0924-6509(09)70279-X","DOIUrl":"https://doi.org/10.1016/S0924-6509(09)70279-X","url":null,"abstract":"","PeriodicalId":293797,"journal":{"name":"North-holland Mathematical Library","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125010698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1016/S0924-6509(09)70276-4
Shôshichi Kobayashi
{"title":"On two Concepts of Stability for Vector Bundles and Sheaves","authors":"Shôshichi Kobayashi","doi":"10.1016/S0924-6509(09)70276-4","DOIUrl":"https://doi.org/10.1016/S0924-6509(09)70276-4","url":null,"abstract":"","PeriodicalId":293797,"journal":{"name":"North-holland Mathematical Library","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121643731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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