Movatterモバイル変換


[0]ホーム

URL:


×

zbMATH Open — the first resource for mathematics

from until
Reset all

Examples

GeometrySearch for the termGeometry inany field. Queries arecase-independent.
Funct*Wildcard queries are specified by* (e .g.functions,functorial, etc.). Otherwise the search isexact.''Topological group'':Phrases (multi - words) should be set in''straight quotation marks''.
au: Bourbaki & ti: AlgebraSearch forauthorBourbaki andtitleAlgebra. Theand-operator & is default and can be omitted.
Chebyshev | TschebyscheffTheor-operator| allows to search forChebyshev orTschebyscheff.
Quasi* map* py: 1989The resulting documents havepublicationyear1989.
so:Eur* J* Mat* Soc* cc:14Search for publications in a particularsource with aMathematics SubjectClassificationcode in14.
cc:*35 ! any:ellipticSearch for documents about PDEs (prefix with * to search only primary MSC); the not-operator ! eliminates all results containing the wordelliptic.
dt: b & au: HilbertThedocumenttype is set tobooks; alternatively:j forjournal articles,a forbookarticles.
py: 2000 - 2015 cc:(94A | 11T)Numberranges when searching forpublicationyear are accepted . Terms can be grouped within( parentheses).
la: chineseFind documents in a givenlanguage .ISO 639 - 1 (opens in new tab) language codes can also be used.
st: c r sFind documents that arecited, havereferences and are from asingle author.

Fields

ab Text from the summary or review (for phrases use “. ..”)
an zbMATH ID, i.e.: preliminary ID, Zbl number, JFM number, ERAM number
any Includes ab, au, cc, en, rv, so, ti, ut
arxiv arXiv preprint number
au Name(s) of the contributor(s)
br Name of a person with biographic references (to find documents about the life or work)
cc Code from the Mathematics Subject Classification (prefix with* to search only primary MSC)
ci zbMATH ID of a document cited in summary or review
db Database: documents in Zentralblatt für Mathematik/zbMATH Open (db:Zbl), Jahrbuch über die Fortschritte der Mathematik (db:JFM), Crelle's Journal (db:eram), arXiv (db:arxiv)
dt Type of the document: journal article (dt:j), collection article (dt:a), book (dt:b)
doi Digital Object Identifier (DOI)
ed Name of the editor of a book or special issue
en External document ID: DOI, arXiv ID, ISBN, and others
in zbMATH ID of the corresponding issue
la Language (use name, e.g.,la:French, orISO 639-1, e.g.,la:FR)
li External link (URL)
na Number of authors of the document in question. Interval search with “-”
pt Reviewing state: Reviewed (pt:r), Title Only (pt:t), Pending (pt:p), Scanned Review (pt:s)
pu Name of the publisher
py Year of publication. Interval search with “-”
rft Text from the references of a document (for phrases use “...”)
rn Reviewer ID
rv Name or ID of the reviewer
se Serial ID
si swMATH ID of software referred to in a document
so Bibliographical source, e.g., serial title, volume/issue number, page range, year of publication, ISBN, etc.
st State: is cited (st:c), has references (st:r), has single author (st:s)
sw Name of software referred to in a document
ti Title of the document
ut Keywords

Operators

a & bLogical and (default)
a | bLogical or
!abLogical not
abc*Right wildcard
ab cPhrase
(ab c)Term grouping

See also ourGeneral Help.

Harmonic spinors.(English)Zbl 0284.58016


MSC:

58J10 Differential complexes
53C20 Global Riemannian geometry, including pinching
53C27 Spin and Spin\({}^c\) geometry
53C55 Global differential geometry of Hermitian and Kählerian manifolds
58J20 Index theory and related fixed-point theorems on manifolds

Cite

References:

[1]Adams, J. F., On the groups \(J(X)\): IV, Topology, 5, 21-71 (1966) ·Zbl 0145.19902
[2]Anderson, D. W.; Brown, E. H.; Peterson, F. P., The structure of the spin cobordism ring, Ann. of Math., 86, 271-298 (1967) ·Zbl 0156.21605
[3]Antonelli, P.; Burghelea, D.; Kahn, P. J., Gromoll groups, Diff \(S^n\) and bilinear constructions of exotic spheres, Bull. Amer. Math. Soc., 76, 772-777 (1970) ·Zbl 0195.53303
[4]Antonelli, P.; Burghelea, D.; Kahn, P. J., The nonfinite type of some \(Diff_0M^n\), Bull. Amer. Math. Soc., 76, 1246-1250 (1970) ·Zbl 0204.56601
[5]Antonelli, P.; Burghelea, D.; Kahn, P. J., The nonfinite homotopy of some diffeomorphism groups, Topology, 11, 1-49 (1972) ·Zbl 0225.57013
[6]Atiyah, M. F., Bott periodicity and the index of elliptic operators, Quart. J. Math. Oxford Ser., 19, 113-140 (1968) ·Zbl 0159.53501
[7]Atiyah, M. F., The signature of fibre bundles, (Global Analysis: Papers in honor of K. Kodaira (1969), Univ. of Tokyo and Princeton Univ. Press) ·Zbl 0193.52302
[8]Atiyah, M. F., Riemann surfaces and spin structures, Ann. Sci. École Norm. Sup., 4, 47-62 (1971) ·Zbl 0212.56402
[9]Atiyah, M. F.; Bott, R., A Lefschetz fixed point formula for elliptic complexes I, Ann. of Math., 86, 374-407 (1967) ·Zbl 0161.43201
[10]Atiyah, M. F.; Bott, R.; Shapiro, A. A., Clifford modules, Topology, 3, Suppl. 1, 3-38 (1964) ·Zbl 0146.19001
[11]Atiyah, M. F.; Patodi, V. K.; Singer, I. M., Spectral asymmetry and Riemannian geometry, Bull. London Math. Soc., 5, 229-234 (1973) ·Zbl 0268.58010
[12]Atiyah, M. F.; Segal, G., The index of elliptic operators: II, Ann. of Math., 87, 531-545 (1968) ·Zbl 0164.24201
[13]Atiyah, M. F.; Singer, I. M., Index theory for skew-adjoint Fredholm operators, Inst. Hautes Études Sci. Publ. Math., 37, 5-26 (1969) ·Zbl 0194.55503
[14]Atiyah, M. F.; Singer, I. M., The index of elliptic operators: IV, V, Ann. of Math., 93, 119-149 (1971) ·Zbl 0212.28603
[15]Borel, A., Compact Clifford-Klein forms of symmetric spaces, Topology, 2, 111-122 (1963) ·Zbl 0116.38603
[16]Borel, A.; Hirzebruch, F., Characteristic classes and homogeneous spaces, Amer. J. Math., 81, 315-382 (1959)
[17]Cerf, J., La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Inst. Hautes Études Sci. Publ. Math., 39, 5-173 (1970) ·Zbl 0213.25202
[18]Chern, S.-S; Simons, J., Characteristic forms and geometric invariants, Ann. of Math., 99, 48-69 (1974) ·Zbl 0283.53036
[19]Farkas, H. M., Special divisors and analytic subloci of Teichmueller space, Amer. J. Math., 88, 881-901 (1966) ·Zbl 0154.33101
[20]Gunning, R. C., Lectures on Riemann Surfaces (1966), Princeton Univ. Press ·Zbl 0175.36801
[21]Iwamoto, H., On the structure of Riemannian spaces whose holonomy groups fix a null system, Tôhoku Math. J., 1, 109-135 (1950) ·Zbl 0041.49602
[22]Jacobson, N., Lie Algebras (1962), Interscience: Interscience New York ·JFM 61.1044.02
[23]Kobayashi, S.; Nomizu, K., (Foundations of Differential Geometry, Volume II (1969), Interscience: Interscience New York) ·Zbl 0175.48504
[24]Kobayashi, S.; Wu, H. H., On holomorphic sections of certain hermitian vector bundles, Math. Ann., 189, 1-4 (1970) ·Zbl 0189.52201
[25]Lichnerowicz, A., Spineurs harmoniques, C. R. Acad. Sci. Paris Sér. A-B, 257, 7-9 (1963) ·Zbl 0136.18401
[26]Martens, H., Varieties of special divisors on a curve: II, J. Reine Angew. Math., 233, 89-102 (1968) ·Zbl 0221.14004
[27]Milnor, J., Remarks concerning spin manifolds, (Differential and Combinatorial Topology: A Symposium in Honor of Marston Morse (1965), Princeton Univ. Press), 55-62 ·Zbl 0132.19602
[28]Porteous, I., Blowing up Chern classes, (Proc. Cambridge Philos. Soc., 56 (1960)), 118-124 ·Zbl 0166.16701
[29]Sampson, J. H.; Washnitzer, G., Cohomology of monoidal transformations, Ann. of Math., 69, 605-629 (1959) ·Zbl 0115.38504
[30]Shafarevich, I. R., Algebraic surfaces, (Proc. Steklov Inst. Math., 75 (1965)), translation 1967 ·Zbl 0832.14026
[31]Zariski, O., Algebraic Surfaces (1971), Springer Verlag: Springer Verlag New York ·Zbl 0219.14020
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
© 2025FIZ Karlsruhe GmbHPrivacy PolicyLegal NoticesTerms & Conditions
  • Mastodon logo
 (opens in new tab)

[8]ページ先頭

©2009-2025 Movatter.jp