Document Zbl 0787.32020

Structured Search

Help

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.

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)

Operators

a & b	logic and
a \| b	logic or
!ab	logic not
abc*	right wildcard
"ab c"	phrase
(ab c)	parentheses

Hill, C. Denson; Nacinovich, M.

A necessary condition for global Stein immersion of compact CR-manifolds. (English) Zbl 0787.32020

Riv. Mat. Univ. Parma, V. Ser. 1, 175-182 (1992).

A necessary condition for embeddability of a compact CR manifold \(M\) is stated. This reads as infinite dimension for the (nontrivial) cohomology groups of the tangential Cauchy-Riemann complex at the points of \(M\) where the Levi form has maximal rank. This is related to a result by M. Sato, M. Koshimoto and T. Kawai [Lect. Notes Math. 287, 263-529 (1973; Zbl 0277.46039)] on infinite dimension of solutions of systems with constant rank and simple characteristics.

Reviewer: G.Zampieri (Padova)

Cited in 7 Documents

MSC:

32V40	Real submanifolds in complex manifolds
32V99	CR manifolds

Keywords:

embeddability; compact CR manifold

Citations:

Zbl 0277.46039

PDF BibTeX XML Cite