Einstein manifolds of positive scalar curvature with arbitrary second Betti number.
Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M., Rees, Elmer G. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M., Rees, Elmer G. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Kotschick, D. (1998)
Geometry & Topology
Similarity:
Mikhael Gromov, H. Blaine Lawson (1983)
Publications Mathématiques de l'IHÉS
Similarity:
Labbi, Mohammed Larbi (2010)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
Andrzej Derdziński (1983)
Compositio Mathematica
Similarity:
Hassan Boualem, Marc Herzlich (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Any Kähler metric on the ball which is strongly asymptotic to complex hyperbolic space and whose scalar curvature is no less than the one of the complex hyperbolic space must be isometrically biholomorphic to it. This result has been known for some time in odd complex dimension and we provide here a proof in even dimension.
Vestislav Apostolov, Paul Gauduchon (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of and are hermitian.
Andrei Moroianu (1999)
Annales de l'institut Fourier
Similarity:
We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity: