منابع مشابه
Morse functions on the moduli space of G 2 structures
The moduli space of complex structures on a compact Riemann surface of genus 1 or ≥ 2 can be identified with the deformation space of Riemannian metrics of constant curvature 0 or −1, while the latter definition natually gives rise to the Weil-Peterson metric. Let M be a compact manifold of domension 7 with an integrable G2 structure, i.e., a differential 3-form φ that satisfies dφ = 0, and d ∗...
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Let M be the moduli space of torsion free G2 structures on a compact 7-manifold M , and let M1 ⊂ M be the G2 structures with volume(M) = 1. The cohomology map π : M → H(M,R) is known to be a local diffeomorphism. It is proved that every nonzero element of H(M,R) = H3(M,R)∗ is a Morse function on M1 when composed with π. When dim H(M,R) = 2, the result in particular implies π is one to one on ea...
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The moduli space of complex structures on a compact Riemann surface of genus 1 or ≥ 2 can be identified with the deformation space of Riemannian metrics of constant curvature 0 or −1, while the latter definition natually gives rise to the Weil-Peterson metric. Let M be a compact manifold of domension 7 with an integrable G2 structure, i.e., a differential 3-form φ that satisfies dφ = 0, and d ∗...
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ژورنال
عنوان ژورنال: Bulletin of the Brazilian Mathematical Society, New Series
سال: 2009
ISSN: 1678-7544,1678-7714
DOI: 10.1007/s00574-009-0021-0