Non-invariant submanifolds of locally decomposable golden Riemannian manifolds
نویسندگان
چکیده
Abstract In this paper, we investigate any non-invariant submanifold of a locally decomposable golden Riemannian manifold in the case that rank set tangent vector fields induced structure on by ambient is less than or equal to codimension submanifold.
منابع مشابه
Warped Product Semi-Invariant Submanifolds in Almost Paracontact Riemannian Manifolds
We show that there exist no proper warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds such that totally geodesic submanifold and totally umbilical submanifold of the warped product are invariant and anti-invariant, respectively. Therefore, we consider warped product semi-invariant submanifolds in the form N N⊥×fNT by reversing two factor manifolds NT and N⊥. W...
متن کاملInvariant submanifolds of Sasakian manifolds
In this paper, the geometry of invariant submanifolds of a Sasakian manifold are studied. Necessary and sufficient conditions are given on an submanifold of a Sasakian manifold to be invariant submanifold and the invariant case is considered. In this case, we investigate further properties of invariant submanifolds of a Sasakian manifold. M.S.C. 2000: 53C42, 53C15.
متن کاملWarped Product Submanifolds of Riemannian Product Manifolds
and Applied Analysis 3 where TX and NX are the tangential and normal components of FX, respectively, and for V ∈ T⊥M,
متن کاملLocally symmetric submanifolds lift to spectral manifolds
In this work we prove that every locally symmetric smooth submanifoldM of Rn gives rise to a naturally defined smooth submanifold of the space of n × n symmetric matrices, called spectral manifold, consisting of all matrices whose ordered vector of eigenvalues belongs toM. We also present an explicit formula for the dimension of the spectral manifold in terms of the dimension and the intrinsic ...
متن کاملBrownian Motion close to Submanifolds of Riemannian Manifolds
We consider two different ways to force Brownian motion to be close to a submanifold of a riemannian manifold. We investigate their relationship and consider an application to the quantum mechanics of thin layers.
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: Arabian Journal of Mathematics
سال: 2021
ISSN: ['2193-5343', '2193-5351']
DOI: https://doi.org/10.1007/s40065-020-00307-9