On locally homogeneous contact metric manifolds with Reeb flow invariant Jacobi operator

被引：0

作者：

Lotta, Antonio ^{[1
]}

机构：

[1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

来源：

NOTE DI MATEMATICA | 2023年 / 43卷 / 02期

关键词：

locally homogeneous contact metric manifold; regular contact manifold; charac-teristic Jacobi operator;

D O I：

10.1285/i15900932v43n2p49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a locally homogeneous, regular contact metric manifold, whose characteristic Jacobi operator is invariant under the Reeb flow, is not compact, provided it admits at least one negative xi -sectional curvature.

引用

页码：49 / 54

页数：6

共 50 条

[21] On the symplectic curvature flow for locally homogeneous manifolds
Lauret, Jorge
Will, Cynthia
JOURNAL OF SYMPLECTIC GEOMETRY, 2017, 15 (01) : 1 - 49
[22] Almost contact Riemannian three-manifolds with Reeb flow symmetry
Perrone, Domenico
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021, 75
[23] On the Ricci operator of locally homogeneous Lorentzian 3-manifolds
Calvaruso, Giovanni
Kowalski, Oldrich
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2009, 7 (01): : 124 - 139
[24] Real hypersurfaces in complex space forms with Reeb flow symmetric structure Jacobi operator
Cho, Jong Taek
Ki, U-Hang
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (03): : 359 - 371
[25] ANTI-INVARIANT SUBMANIFOLDS OF ALMOST CONTACT METRIC MANIFOLDS
LUDDEN, GD
OKUMURA, M
YANO, K
MATHEMATISCHE ANNALEN, 1977, 225 (03) : 253 - 261
[26] Invariant structures and gauge transformation of almost contact metric manifolds
Mirmohammad Rezaii, Morteza
Zandi, Mehrnoosh
TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1274 - 1282
[27] NON EXISTENCE OF HOMOGENEOUS CONTACT METRIC MANIFOLDS OF NONPOSITIVE CURVATURE
Lotta, Antonio
TOHOKU MATHEMATICAL JOURNAL, 2010, 62 (04) : 575 - 578
[28] 3-DIMENSIONAL LOCALLY SYMMETRICAL CONTACT METRIC MANIFOLDS
BLAIR, DE
SHARMA, R
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1990, 4A (03): : 385 - 390
[29] 5-DIMENSIONAL LOCALLY SYMMETRICAL CONTACT METRIC MANIFOLDS
BLAIR, DE
SIERRA, JM
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1993, 7A (02): : 299 - 311
[30] Eigenvalues of the Laplace operator with potential under the backward Ricci flow on locally homogeneous 3-manifolds
Songbo Hou
Shusen Yang
manuscripta mathematica, 2022, 167 : 703 - 719

← 1 2 3 4 5 →