000 | 03096nam a22004935i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-0-387-49913-0 _2doi |
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040 | _aISI Library, Kolkata | ||
050 | 4 | _aQA641-670 | |
072 | 7 |
_aPBMP _2bicssc |
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072 | 7 |
_aMAT012030 _2bisacsh |
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072 | 7 |
_aPBMP _2thema |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |