Riemannian submersions from complex projective space

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Flats in Riemannian Submersions from Lie Groups

We prove that any base space of Riemannian submersion from a compact Lie group (with bi-invariant metric) must have a basic property previously known for normal biquotients; namely, any zero-curvature plane exponentiates to a flat.

متن کامل

Pseudo Ricci symmetric real hypersurfaces of a complex projective space

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.

متن کامل

Remark about Scalar Curvature and Riemannian Submersions

We consider modified scalar curvature functions for Riemannian manifolds equipped with smooth measures. Given a Riemannian submersion whose fiber transport is measure-preserving up to constants, we show that the modified scalar curvature of the base is bounded below in terms of the scalar curvatures of the total space and fibers. We give an application concerning scalar curvatures of smooth lim...

متن کامل

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 کامل

ذخیره 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: Journal of Differential Geometry

سال: 1978

ISSN: 0022-040X

DOI: 10.4310/jdg/1214434350