SEMI-INVARIANT ξ⊥-SUBMANIFOLDS OF GENERALIZED QUASI-SASAKIAN MANIFOLDS

被引：0

作者：

Calin, Constantin ^{[1
]}

Crasmareanu, Mircea ^{[2
]}

Munteanu, Marian Ioan ^{[2
]}

Saltarelli, Vincenzo ^{[3
]}

机构：

[1] Tech Univ Gh Asachi, Dept Math, Iasi 700049, Romania

[2] Alexandru Ioan Cuza Univ, Iasi 700506, Romania

[3] Univ Study Bari, Dept Math, I-70125 Bari, Italy

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 06期

关键词：

Semi-invariant xi(perpendicular to)-submanifold; Totally umbilical submanifold; Totally geodesic leaves; CR-SUBMANIFOLDS; CONTACT; SPACE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A structure on an almost contact metric manifold is defined as a generalization of well-known cases: Sasakian, quasi-Sasakian, Kenmotsu and cosymplectic. This was suggested by a local formula of Eum [9]. Then we consider a semi-invariant xi(perpendicular to)-submanifold of a manifold endowed with such a structure and two topics are studied: the integrability of distributions defined by this submanifold and characterizations for the totally umbilical case. In particular we recover results of Kenmotsu [11], Eum [9, 10] and Papaghiuc [16].

引用

页码：2053 / 2062

页数：10

共 19 条

[1]

[Anonymous], 1984, Series in Pure Mathematics

[2]

Barros M., 1981, Kodai Math. J, P399

[3] CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD .1. [J].

BEJANCU, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 69 (01) :135-142

[4]

Bejancu A., 1981, Analele stiintifice ale Universitaii Al.I. Cuza din Iasi, V27, P163

[5] Foliations and Complemented Framed Structures on an Almost Contact Metric Manifold [J].

Calin, Constantin .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2011, 8 (02) :191-206

[6]

Chen B.Y., 2008, Topics in Differential Geometry, P29

[7]

Chen BY, 2000, HANDBOOK OF DIFFERENTIAL GEOMETRY, VOL I, P187, DOI 10.1016/S1874-5741(00)80006-0

[8] A CLASSIFICATION OF ALMOST CONTACT METRIC MANIFOLDS [J].

CHINEA, D ;

GONZALEZ, C .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1990, 156 :15-36

[9]

EUM SS, 1970, TENSOR, V21, P315

[10]

EUM SS, 1969, TENSOR, V20, P37

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