scholarly journals PSEUDO-PARALLEL SUBMANIFOLDS WITH FLAT NORMAL BUNDLE OF SPACE FORMS

2006 ◽  
Vol 48 (01) ◽  
pp. 171 ◽  
Author(s):  
G. A. LOBOS ◽  
R. TOJEIRO
Keyword(s):  
Normal Bundle ◽  
Space Forms ◽  
Flat Normal Bundle

scholarly journals Isometric immersions with flat normal bundle between space forms

2021 ◽  
Author(s):  
Marcos Dajczer ◽  
Christos-Raent Onti ◽  
Theodoros Vlachos
Keyword(s):  
Normal Bundle ◽  
Isometric Immersions ◽  
Space Forms ◽  
Flat Normal Bundle

scholarly journals Einstein submanifolds with flat normal bundle in space forms are holonomic

2018 ◽  
Vol 146 (9) ◽  
pp. 4035-4038 ◽  
Author(s):  
Marcos Dajczer ◽  
Christos-Raent Onti ◽  
Theodoros Vlachos
Keyword(s):  
Normal Bundle ◽  
Space Forms ◽  
Flat Normal Bundle

scholarly journals Contact properties of codimension 2 submanifolds with flat normal bundle

2010 ◽  
pp. 799-824 ◽  
Author(s):  
Juan Nuño-Ballesteros ◽  
M.C. Romero-Fuster
Keyword(s):  
Normal Bundle ◽  
Flat Normal Bundle

Submanifolds with flat normal bundle

1987 ◽  
Vol 277 (1) ◽  
pp. 95-111 ◽  
Author(s):  
Chuu-Lian Terng
Keyword(s):  
Normal Bundle ◽  
Flat Normal Bundle

scholarly journals Conformally flat submanifolds with flat normal bundle

2019 ◽  
Vol 163 (3-4) ◽  
pp. 407-426 ◽  
Author(s):  
M. Dajczer ◽  
C.-R. Onti ◽  
Th. Vlachos
Keyword(s):  
Normal Bundle ◽  
Conformally Flat ◽  
Flat Normal Bundle ◽  
Conformally Flat Submanifolds ◽  
Flat Submanifolds

Submanifolds with Nonparallel First Normal Bundle

1994 ◽  
Vol 37 (3) ◽  
pp. 330-337 ◽  
Author(s):  
Marcos Dajczer ◽  
Ruy Tojeiro
Keyword(s):  
Euclidean Space ◽  
Sectional Curvature ◽  
Normal Bundle ◽  
Second Fundamental Form ◽  
Low Rank ◽  
Geometric Description ◽  
Normal Connection ◽  
Flat Normal Bundle ◽  
The Second Fundamental Form ◽  
Flat Submanifolds

AbstractWe provide a complete local geometric description of submanifolds of spaces with constant sectional curvature where the first normal spaces, that is, the subspaces spanned by the second fundamental form, form a vector subbundle of the normal bundle of low rank which is nonparallel in the normal connection. We also characterize flat submanifolds with flat normal bundle in Euclidean space satisfying the helix property.

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