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)
On curvature properties of quasi-Einstein hypersurfaces in semi-Euclidean spaces. (English) Zbl 1008.53020
This paper is part of an ongoing research programme of the authors and their collaborators concerning curvature properties of pseudo-symmetry type. Here they consider hypersurfaces $M$ in semi-Euclidean spaces which are quasi-Einstein, i.e., their Ricci tensor $S$ is of the form $S=\alpha g+\beta w\otimes w$ where $\alpha$ and $\beta$ are real numbers, $g$ is the metric tensor and $w$ a one-form on $M$. In particular, the interplay between properties of the shape operator of such hypersurfaces and curvature properties is studied.

53B20Local Riemannian geometry
53B25Local submanifolds
53B30Lorentz metrics, indefinite metrics
53C25Special Riemannian manifolds (Einstein, Sasakian, etc.)