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001 978-0-387-49913-0
003 DE-He213
005 20181204133144.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 _a9780387499130
_9978-0-387-49913-0
024 7 _a10.1007/978-0-387-49913-0
_2doi
040 _aISI Library, Kolkata
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aLumiste, Ülo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSemiparallel Submanifolds in Space Forms
_h[electronic resource] /
_cby Ülo Lumiste.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _aVII, 306 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreliminaries -- Submanifolds in Space Forms -- Parallel Submanifolds -- Semiparallel Submanifolds -- Normally Flat Semiparallel Submanifolds -- Semiparallel Surfaces -- Semiparallel Three-Dimensional Submanifolds -- Decomposition Theorems -- Umbilic-Likeness of Main Symmetric Orbits -- Geometric Descriptions in General -- Isometric Semiparallel Immersions of Riemannian Manifolds of Conullity Two -- Some Generalizations.
520 _aThis book offers a comprehensive survey to date of the theory of semiparallel submanifolds. Introduced in 1985, semiparallel submanifolds have emerged as an important area of research within differential geometry and topology. The author begins with the necessary background on symmetric and semisymmetric Riemannian manifolds, smooth manifolds in space forms, and parallel submanifolds. Semiparallel submanifolds are introduced in Chapter 4, where characterizations of their class and several subclasses are given. In later chapters Lumiste introduces the concept of main symmetric orbit and presents all known results concerning umbilic-like main symmetric orbits. Generalizations, such as k-semiparallel submanifolds and Ric-semiparallel hypersurfaces, are also studied. Semiparallel Submanifolds in Space Forms will appeal to both researchers and graduate students.
650 0 _aGlobal differential geometry.
650 0 _aTopology.
650 0 _aMathematical physics.
650 1 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aTopology.
_0http://scigraph.springernature.com/things/product-market-codes/M28000
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441923899
776 0 8 _iPrinted edition:
_z9780387564739
776 0 8 _iPrinted edition:
_z9780387499116
856 4 0 _uhttps://doi.org/10.1007/978-0-387-49913-0
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426092
_d426092