000 03290cam a2200493Ia 4500
001 ocn316566675
003 OCoLC
005 20141103172224.0
006 m o d
007 cr cn|||||||||
008 090320s1993 ne a ob 001 0 eng d
040 _aOPELS
_beng
_cOPELS
_dOPELS
_dOCLCQ
_dOCLCF
_dOCLCO
_dDEBBG
020 _a9780444897718
020 _a0444897712
029 1 _aNZ1
_b15193140
029 1 _aDEBBG
_bBV036962598
029 1 _aDEBSZ
_b407392181
035 _a(OCoLC)316566675
037 _a122151:125996
_bElsevier Science & Technology
_nhttp://www.sciencedirect.com
050 4 _aQA649
_b.A38 1993eb
082 0 4 _a516.3/62
_222
049 _aTEFA
100 1 _aAkivis, M. A.
_q(Maks A�izikovich)
245 1 0 _aProjective differential geometry of submanifolds
_h[electronic resource] /
_cM.A. Akivis, V.V. Gol�dberg.
260 _aAmsterdam ;
_aNew York :
_bNorth-Holland,
_c1993.
300 _a1 online resource (xi, 362 p.) :
_bill.
490 1 _aNorth-Holland mathematical library ;
_v49
520 _aIn this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations. Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.
504 _aIncludes bibliographical references (p. 297-331) and index.
588 _aDescription based on print version record.
650 0 _aSubmanifolds.
650 0 _aProjective differential geometry.
650 7 _aGeometria diferencial projetiva.
_2larpcal
650 7 _aProjective differential geometry.
_2fast
_0(OCoLC)fst01078837
650 7 _aSubmanifolds.
_2fast
_0(OCoLC)fst01136611
655 4 _aElectronic books.
700 1 _aGol�dberg, V. V.
_q(Vladislav Viktorovich)
776 0 8 _iPrint version:
_aAkivis, M. A. (Maks A�izikovich).
_tProjective differential geometry of submanifolds.
_dAmsterdam ; New York : North-Holland, 1993
_z0444897712
_z9780444897718
_w(DLC) 93010725
_w(OCoLC)27974819
830 0 _aNorth-Holland mathematical library ;
_v49.
856 4 0 _3ScienceDirect
_uhttp://www.sciencedirect.com/science/book/9780444897718
856 4 _uhttp://www.sciencedirect.com/science/publication?issn=09246509&volume=49
_3Volltext
942 _cEB
994 _aC0
_bTEF
999 _c21763
_d21763