Curvature characterizations of twistor spaces over four-dimensional Riemannian manifolds
スポンサーリンク
概要
- 論文の詳細を見る
In this paper, we study the complex contact structure of a twistor space over a self-dual, Einstein 4-manifold with nonzero scalar curvature. Although the existence of such a structure has been known and well utilized by researchers for several decades now, the Hermitian geometry resulting from the complex contact structure is still in the process of being fully developed. Here we give a characterization of such twistor spaces as those satisfying a curvature (and hence purely geometric) identity. Later, we describe how this result fits in with other areas of research in complex contact geometry.
- 国立大学法人 東京工業大学大学院理工学研究科数学専攻の論文
国立大学法人 東京工業大学大学院理工学研究科数学専攻 | 論文
- Noncommutative extension of an integral representation theorem of entropy
- Newton-Puiseux approximation and Lojasiewicz exponents
- Complex hypersurfaces diffeomorphic to affine spaces
- Integral means for the first derivative of Blaschke products
- Cesàro summability of successively differentiated series of a Fourier series and its conjugate series