zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
$f$ -structures of Kenmotsu type. (English) Zbl 1167.53306
Summary: A class of manifolds which admit an $f$-structure with $s$-dimensional parallelizable kernel is introduced and studied. Such manifolds are Kenmotsu manifolds if $s = 1$, and carry a locally conformal Kähler structure of Kashiwada type when $s = 2$. The existence of several foliations allows to state some local decomposition theorems. The Ricci tensor together with Einstein-type conditions and $f$-sectional curvatures are also considered. Furthermore, each manifold carries a homogeneous Riemannian structure belonging to the class $$\mathcal{T}_{1} \oplus \mathcal{T}_{2}$$ of the classification stated by Tricerri and Vanhecke, provided that it is a locally symmetric space.
53C15Differential geometric structures on manifolds
53D15Almost contact and almost symplectic manifolds
53C25Special Riemannian manifolds (Einstein, Sasakian, etc.)
Full Text: DOI