On 2 p -dimensional Riemannian manifolds with positive scalar curvature

Domenico Perrone

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1984)

  • Volume: 77, Issue: 3-4, page 91-98
  • ISSN: 1120-6330

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Perrone, Domenico. "On $2p$-dimensional Riemannian manifolds with positive scalar curvature." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 77.3-4 (1984): 91-98. <http://eudml.org/doc/287521>.

@article{Perrone1984,
author = {Perrone, Domenico},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {lowest eigenvalue of the Laplacian; conformally flat; Yamabe conjecture; Betti number; fundamental group},
language = {eng},
month = {9},
number = {3-4},
pages = {91-98},
publisher = {Accademia Nazionale dei Lincei},
title = {On $2p$-dimensional Riemannian manifolds with positive scalar curvature},
url = {http://eudml.org/doc/287521},
volume = {77},
year = {1984},
}

TY - JOUR
AU - Perrone, Domenico
TI - On $2p$-dimensional Riemannian manifolds with positive scalar curvature
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1984/9//
PB - Accademia Nazionale dei Lincei
VL - 77
IS - 3-4
SP - 91
EP - 98
LA - eng
KW - lowest eigenvalue of the Laplacian; conformally flat; Yamabe conjecture; Betti number; fundamental group
UR - http://eudml.org/doc/287521
ER -

References

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  1. AUBIN, T. (1976) - Equations différentielles non linéaires et problême de Yamabe concernant la courbure scalaire, «J. Math. pures et appl.», 55, 269-296. Zbl0336.53033MR431287
  2. GOLDBERG, S.I. and OKUMURA, M. (1976) - Conformally flat manifolds and a pinching problem on the Ricci tensor, «Proc. Amer. Math. Soc.», 58, 234-236. Zbl0337.53040MR410601
  3. GALLOT, S. and MEYER, D. (1975) - Opérateur de courbure et laplacien des formes différentielles d'une variété Riemannienne, «J. Math. pures et appl.», 54, 259-284. Zbl0316.53036MR454884
  4. PERRONE, D. (1982) - On the minimal eigenvalue of the Laplacian operator for p -forms in conformally flat Riemannian manifolds, «Proc. Amer. Math. Soc.», 86, 103-108. Zbl0492.53032MR663876DOI10.2307/2044406
  5. TACHIBANA, S. (1978) - On the proper space of Δ for m -forms in 2 m dimensional conformally flat Riemannian manifolds, «Nat. Sc. Rep.», Ochanomizu University», 29, 111-115. Zbl0421.53029MR525629
  6. TANI, M. (1967) - On a compact conformally flat space with positive Ricci curvature, «Tôhoku Math. J.», 19, 227-231. Zbl0166.17405MR220213
  7. TANNO, S. (1973) - Compact conformally flat Riemannian manifolds, «J. Differential Geometry», 8, 71-74. Zbl0278.53033MR358626

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