A vanishing result for strictly $$p$$-convex domains
Abstrak
In view of Andreotti and Grauert (Bull Soc Math France 90:193–259, 1962) vanishing theorem for $$q$$-complete domains in $$\mathbb C ^{n}$$, we reprove a vanishing result by Sha (Invent Math 83(3):437–447, 1986), and Wu (Indiana Univ Math J 36(3):525–548, 1987), for the de Rham cohomology of strictly $$p$$-convex domains in $$\mathbb R ^n$$ in the sense of Harvey and Lawson (The foundations of $$p$$-convexity and $$p$$-plurisubharmonicity in riemannian geometry. arXiv:1111.3895v1 [math.DG]). Our proof uses the $${L}^2$$-techniques developed by Hörmander (An introduction to complex analysis in several variables, 3rd edn. North-Holland Publishing Co, Amsterdam 1990), and Andreotti and Vesentini (Inst Hautes Études Sci Publ Math 25:81–130, 1965).
Topik & Kata Kunci
Penulis (2)
Daniele Angella
Simone Calamai
Akses Cepat
- Tahun Terbit
- 2012
- Bahasa
- en
- Total Sitasi
- 4×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1007/s10231-012-0315-5
- Akses
- Open Access ✓