Lagrangians adapted to submersions and foliations
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...
متن کاملPoincaré Submersions
We prove two kinds of fibering theorems for maps X → P , where X and P are Poincaré spaces. The special case of P = S1 yields a Poincaré duality analogue of the fibering theorem of Browder and Levine.
متن کاملSpectra of Submersions
This talk presents a review of the results concerning the spectra of submersions obtained during the time by the author and others. Let (M, g), (B, j) be two connected compact Riemannian manifolds without boundary and let π : M −→ B be a submersion. We investigate the relations between the spectra of the LaplaceBeltrami operators acting on functions defined respectively on M , on B and on the f...
متن کاملAccidents and child abuse in bathtub submersions.
Non-accidental bath drowning is an infrequently reported form of child abuse. Details of 44 children who suffered from drowning or near drowning in the bath were analysed from a two year (1988-9) UK study to investigate factors that might point to abuse. Cases of near drowning were notified through the British Paediatric Surveillance Unit inquiry system and drowning cases from the Office of Pop...
متن کاملIsometric Submersions of Finsler Manifolds
The notion of isometric submersion is extended to Finsler spaces and it is used to construct examples of Finsler metrics on complex and quaternionic projective spaces all of whose geodesics are (geometrical) circles.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2009
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2008.06.017