zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
Old and new structures on the tangent bundle. (English) Zbl 1126.53020
Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 264-278 (2007).
The paper under review extends definitions and results on Sasakian and Cheeger-Gromoll metrics. More precisely, the author constructs the metric introduced by M. Anastasiei [Libertas Math. 19, 71–76 (1999; Zbl 0982.53064)], using the general method of Riemannian metrics on the tangent bundle TM given by E. Musso and F. Tricerri [Ann. Mat. Pura Appl. (4) 150, 1–19 (1988; Zbl 0658.53045)]. Furthermore, with the help of a compatible almost complex structure he obtains conditions under which TM is Kählerian, almost Kählerian, or locally conformal Kählerian. The paper ends with conditions when TM is of constant scalar or sectional curvature and with examples of such metrics.
MSC:
53C15Differential geometric structures on manifolds
53C25Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55Hermitian and Kählerian manifolds (global differential geometry)