منابع مشابه
Semi-slant Pseudo-riemannian Submersions from Indefinite Almost Contact 3-structure Manifolds onto Pseudo-riemannian Manifolds
In this paper, we introduce the notion of a semi-slant pseudoRiemannian submersion from an indefinite almost contact 3-structure manifold onto a pseudo-Riemannian manifold. We investigate the geometry of foliations determined by horizontal and vertical distributions and provide a non-trivial example. We also find a necessary and sufficient condition for a semi-slant submersion to be totally geo...
متن کاملBounded 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 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: Celal Bayar Üniversitesi Fen Bilimleri Dergisi
سال: 2020
ISSN: 1305-130X
DOI: 10.18466/cbayarfbe.683771