Soft Restrictions on Positively Curved Riemannian Submersions
نویسندگان
چکیده
منابع مشابه
Bounded Riemannian Submersions
In this paper, we establish global metric properties of a Riemannian submersion π : Mn+k → Bn for which the fundamental tensors are bounded in norm: |A| ≤ CA, |T | ≤ CT . For example, if B is compact and simply connected, then there exists a constant C = C(B,CA, CT , k) such that for all p ∈ B, dFp ≤ C · dM , where dFp denotes the intrinsic distance function on the fiber Fp := π−1(p), and dM de...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2015
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-015-9596-4