Homogeneous Manifolds with Negative Curvature, Part II
Robert Azencott · Edward N. Wilson
Jan 1976 · American Mathematical Society: Memoirs of the American Mathematical Society Buku 178 · American Mathematical Soc.
eBook
102
Halaman
reportRating dan ulasan tidak diverifikasi Pelajari Lebih Lanjut
Tentang eBook ini
This paper is the second in a series dealing with the structure of the full isometry group I(M) for M a connected, simply connected, homogeneous, Riemannian manifold with non-positive sectional curvature. It is shown that every such manifold determines canonically a conjugacy class of subgroups of I(M) which act simply transitively on M. The class of all simply transitive subgroups of I(M) is identified and it is demonstrated that an arbitrary simply transitive subgroup may be modified slightly to produce a subgroup in the canonical class. The class of all connected Lie groups G for which there exists such a manifold M with G isomorphic to the identity connected component of I(M) is identified by means of a list of structural conditions on the Lie algebra of G. Given an arbitrary connected, simply connected Riemannian manifold M together with a given simply transitive group S of isometries, an algorithm is exhibited to explicitly compute the Lie algebra of I(M) from the transported Riemannian data on S.
Beri rating eBook ini
Sampaikan pendapat Anda.
Informasi bacaan
Smartphone dan tablet
Instal aplikasi Google Play Buku untuk Android dan iPad/iPhone. Aplikasi akan disinkronkan secara otomatis dengan akun Anda dan dapat diakses secara online maupun offline di mana saja.
Laptop dan komputer
Anda dapat mendengarkan buku audio yang dibeli di Google Play menggunakan browser web komputer.
eReader dan perangkat lainnya
Untuk membaca di perangkat e-ink seperti Kobo eReaders, Anda perlu mendownload file dan mentransfernya ke perangkat Anda. Ikuti petunjuk Pusat bantuan yang mendetail untuk mentransfer file ke eReaders yang didukung.
