04748nam 2200601 450 991048041260332120170822144520.00-8218-9114-6(CKB)3360000000464091(EBL)3114582(SSID)ssj0000888898(PQKBManifestationID)11453152(PQKBTitleCode)TC0000888898(PQKBWorkID)10866269(PQKB)10525639(MiAaPQ)EBC3114582(PPN)195419200(EXLCZ)99336000000046409120150416h20122012 uy 0engur|n|---|||||txtccrElliptic integrable systems a comprehensive geometric interpretation /Idrisse KhemarProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (215 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 219, Number 1031"September 2012, Volume 219, Number 1031 (fourth of 5 numbers)."0-8218-6925-6 Includes bibliographical references and index.""Contents""; ""Abstract""; ""Introduction""; ""0.1. The primitive systems""; ""0.2. The determined case""; ""0.2.1. The minimal determined system""; ""0.2.2. The general structure of the maximal determined case""; ""0.2.3. The model system in the even case""; ""0.2.4. The model system in the odd case""; ""0.2.5. The coupled model system""; ""0.2.6. The general maximal determined odd system (k'=2k+1,m=2k)""; ""0.2.7. The general maximal determined even system (k'=2k,m=2k-1)""; ""0.2.8. The intermediate determined systems""; ""0.3. The underdetermined case""; ""0.4. In the twistor space""""0.5. Related subjects and works, and motivations""""0.5.1. Relations with surface theory""; ""0.5.2. Relations with mathematical physics""; ""0.5.3. Relations of F-stringy harmonicity and supersymmetry""; ""Notation, conventions and general definitions""; ""0.6. List of notational conventions and organisation of the paper""; ""0.7. Almost complex geometry""; ""Chapter 1. Invariant connections on reductive homogeneous spaces""; ""1.1. Linear isotropy representation""; ""1.2. Reductive homogeneous space""; ""1.3. The (canonical) invariant connection""; ""1.4. Associated covariant derivative""""1.5. G-invariant linear connections in terms of equivariant bilinear maps""""1.6. A family of connections on the reductive space M""; ""1.7. Differentiation in End(T(G/H))""; ""Chapter 2. m-th elliptic integrable system associated to a k'-symmetric space""; ""2.0.1. Definition of G (even when does not integrate in G)""; ""2.1. Finite order Lie algebra automorphisms""; ""2.1.1. The even case: k'=2k""; ""2.1.2. The odd case: k'=2k+1""; ""2.2. Definitions and general properties of the m-th elliptic system""; ""2.2.1. Definitions""; ""2.2.2. The geometric solution""""2.2.3. The increasing sequence of spaces of solutions: (S(m))mN""""2.2.4. The decreasing sequence (Syst(m,p))p/k'""; ""2.3. The minimal determined case""; ""2.3.1. The even minimal determined case: k'=2k and m=k""; ""2.3.2. The minimal determined odd case""; ""2.4. The maximal determined case""; ""Adding holomorphicity conditions; the intermediate determined systems""; ""2.5. The underdetermined case""; ""2.6. Examples""; ""2.6.1. The trivial case: the 0-th elliptic system associated to a Lie group""; ""2.6.2. Even determined case""; ""2.6.3. Primitive case""""2.6.4. Underdetermined case""""2.7. Bibliographical remarks and summary of the results""; ""Chapter 3. Finite order isometries and twistor spaces""; ""3.1. Isometries of order 2k with no eigenvalues =1""; ""3.1.1. The set of connected components in the general case""; ""3.1.2. Study of Ad J, for JZ2ka(R2n)""; ""3.1.3. Study of Ad Jj""; ""3.2. Isometries of order 2k+1 with no eigenvalue =1""; ""3.3. The effect of the power maps on the finite order isometries""; ""3.4. The twistor spaces of a Riemannian manifolds and its reductions""""3.5. Return to an order 2k automorphism 2mu-:6muplus1mugg""Memoirs of the American Mathematical Society ;Volume 219, Number 1031.Geometry, RiemannianHermitian structuresElectronic books.Geometry, Riemannian.Hermitian structures.516.3/73Khemar Idrisse1979-871196MiAaPQMiAaPQMiAaPQBOOK9910480412603321Elliptic integrable systems1944830UNINA02142nam 2200409 n 450 99639340620331620200824121852.0(CKB)4940000000110840(EEBO)2240931921(UnM)99867611e(UnM)99867611(EXLCZ)99494000000011084019940519d1660 uy |engurbn||||a|bb|A plain-dealing, and plain-meaning sermon, preach't in the parish church of St. Nicholas, Bristol, April. 6. 1660[electronic resource] Being the day appointed by the Parliament for publique fasting and humiliation for the sins of the nation, &c. Together with a prefatory epistle, and subsequent vindication both of the sermon, and author. Wherein (besides an apology for home and plain-preaching) you have something offered to allay the heat of thier stomacks, and to temper the tongues of those, who (being ignorant in scripture) reproach and revile Presbytery and Presbyters. With some hints at Satans subtlety, and the mischief of those people, who brand zeal for God and truth (in free, home, and faithfull preaching) with the reproachful names of anger, passion, and railingLondon printed by S. Griffin, and are to be sold by Thomas Wall by the Tolezey in Cornstreet in Bristol1660[14], 34 pThe epistle dedicatory signed: Ra: Farmer.Annotation on Thomason copy: "May 19.".Reproduction of the original in the British Library.eebo-0018Sermons, English17th centuryPresbyterianismEarly works to 1800Religious toleranceEnglandEarly works to 1800Sermons, EnglishPresbyterianismReligious toleranceFarmer Ralph1007746Cu-RivESCu-RivESCStRLINWaOLNBOOK996393406203316A plain-dealing, and plain-meaning sermon, preach't in the parish church of St. Nicholas, Bristol, April. 6. 16602376181UNISA