Submanifolds with semiparallel tensor fields as envelopes

Submanifolds with semiparallel tensor fields as envelopes

The problem of connections between submanifolds with semiparallel tensor fields defined in terms of the second fundamental form by means of arbitrary tensor operations and submanifolds on which the matching tensor fields are parallel is completely solved in spaces of constant curvature, in terms of...

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Veröffentlicht in:Sbornik. Mathematics 2002-10, Vol.193 (10)
1. Verfasser: Mirzoyan, V A
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
MATHEMATICAL MANIFOLDS
MATHEMATICAL SPACE
TENSOR FIELDS
TENSORS
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Beschreibung
Zusammenfassung:The problem of connections between submanifolds with semiparallel tensor fields defined in terms of the second fundamental form by means of arbitrary tensor operations and submanifolds on which the matching tensor fields are parallel is completely solved in spaces of constant curvature, in terms of various classes of envelopes.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2002V193N10ABEH000686;COUNTRYOFINPUT:INTERNATIONALATOMICENERGYAGENCY(IAEA)