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Volumn 1996, Issue 471, 1996, Pages 23-42

The generalized Lichnerowicz formula and analysis of Dirac operators

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EID: 0002699425     PISSN: 00754102     EISSN: 14355345     Source Type: Journal    
DOI: 10.1515/crll.1996.471.23     Document Type: Article
Times cited : (15)

References (16)
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    • A generalized Lichnerowicz formula, the Wodzicki residue and Gravity
    • to appear
    • T. Ackermann, J. Tolksdorf, A generalized Lichnerowicz formula, the Wodzicki residue and Gravity J. Geom. Phys., to appear.
    • J. Geom. Phys.
    • Ackermann, T.1    Tolksdorf, J.2
  • 2
    • 85026006773 scopus 로고    scopus 로고
    • A Unification of Gravity and Yang-Mills-Higgs Gauge Theories
    • to appear
    • T. Ackermann, J. Tolksdorf, A Unification of Gravity and Yang-Mills-Higgs Gauge Theories, Letters Math. Phys., to appear.
    • Letters Math. Phys.
    • Ackermann, T.1    Tolksdorf, J.2
  • 3
    • 0001579635 scopus 로고
    • The index of elliptic operators I, III
    • resp. 546-604
    • M.F. Atiyah, I.M. Singer, The index of elliptic operators I, III Ann. Math. 87 (1968) 484-530, resp. 546-604.
    • (1968) Ann. Math. , vol.87 , pp. 484-530
    • Atiyah, M.F.1    Singer, I.M.2
  • 7
    • 44949280789 scopus 로고
    • Particle models and non-commutative geometry
    • A. Connes, J. Lor, Particle models and non-commutative geometry Nucl. Phys. B Proc. Supp. 18B (1990), 29-47.
    • (1990) Nucl. Phys. B Proc. Supp. , vol.18B , pp. 29-47
    • Connes, A.1    Lor, J.2
  • 8
    • 0002846281 scopus 로고
    • A short proof of the local Atiyah-Singer index theorem
    • E. Getzler, A short proof of the local Atiyah-Singer index theorem Topology 25 (1986), 111-117.
    • (1986) Topology , vol.25 , pp. 111-117
    • Getzler, E.1
  • 10
    • 0000028732 scopus 로고
    • A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
    • V. Guillemin, A new proof of Weyl's formula on the asymptotic distribution of eigenvalues Adv. Math. 55 (1985), 131-160.
    • (1985) Adv. Math. , vol.55 , pp. 131-160
    • Guillemin, V.1
  • 11
    • 0001433377 scopus 로고
    • Gravity, non-commutative geometry and the Wodzicki residue
    • W. Kalau, M. Walze, Gravity, non-commutative geometry and the Wodzicki residue J. Geom. Phys. 16 (1995), 327-344.
    • (1995) J. Geom. Phys. , vol.16 , pp. 327-344
    • Kalau, W.1    Walze, M.2
  • 12
    • 0001284725 scopus 로고
    • The Dirac operator and gravitation
    • D. Kastler, The Dirac operator and gravitation Com. Math. Phys. 166 (1995), 633-643.
    • (1995) Com. Math. Phys. , vol.166 , pp. 633-643
    • Kastler, D.1
  • 14
    • 33744727108 scopus 로고
    • A new proof of the positive energy theorem
    • E. Witten, A new proof of the positive energy theorem Com. Math. Phys. 80 (1981), 381-402.
    • (1981) Com. Math. Phys. , vol.80 , pp. 381-402
    • Witten, E.1
  • 15
    • 0002794818 scopus 로고
    • Local invariants of spectral asymmetry
    • M. Wodzicki, Local invariants of spectral asymmetry Inv. Math. 75 (1984), 143-178.
    • (1984) Inv. Math. , vol.75 , pp. 143-178
    • Wodzicki, M.1
  • 16
    • 0002326199 scopus 로고
    • Non-commutative residue I
    • M. Wodzicki, Non-commutative residue I Lect. Notes Math. 1289 (1987), 320-399.
    • (1987) Lect. Notes Math. , vol.1289 , pp. 320-399
    • Wodzicki, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.