Remarks on almost Riemann solitons with gradient or torse-forming vector field

نویسندگان

چکیده

We consider almost Riemann solitons $$(V,\lambda )$$ in a Riemannian manifold and underline their relation to Ricci solitons. When V is of gradient type, using Bochner formula, we explicitly express the function $$\lambda $$ by means vector field illustrate result with suitable examples. Moreover, deduce some properties for particular cases when potential soliton solenoidal or torse-forming, special view towards curvature.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

On Concircular and Torse-forming Vector Fields on Compact Manifolds

In this paper we modify the theorem by E. Hopf and found results and conditions, on which concircular, convergent and torse-forming vector fields exist on (pseudo-) Riemannian spaces. These results are applied for conformal, geodesic and holomorphically projective mappings of special compact spaces without boundary.

متن کامل

Remarks on Topological Solitons

In this paper we deal with soliton solutions of Lorentz invariant equations. Roughly speaking, a soliton is a solution of a field equation whose energy travels as a localized packet and which preserves its form under perturbations. In this respect soliton solutions have a particle-like behaviour and they occur in many questions of mathematical physics, such as classical and quantum field theory...

متن کامل

Remarks on string solitons

We consider generalized self-duality equations for U(2r) Yang-Mills theory on R8 with quaternionic structure. We employ the extended ADHMmethod in eight dimensions to construct exact soliton solutions of the low-energy effective theory of the heterotic string.

متن کامل

SOME REMARKS ON ALMOST UNISERIAL RINGS AND MODULES

In this paper we study almost uniserial rings and modules. An R−module M is called almost uniserial if any two nonisomorphic submodules are linearly ordered by inclusion. A ring R is an almost left uniserial ring if R_R is almost uniserial. We give some necessary and sufficient condition for an Artinian ring to be almost left uniserial.

متن کامل

On Gradient Ricci Solitons with Symmetry

We study gradient Ricci solitons with maximal symmetry. First we show that there are no non-trivial homogeneous gradient Ricci solitons. Thus the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed. However, we apply the main result in [12] to show that there are no noncompact cohomogeneity one s...

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: Bulletin of the Malaysian Mathematical Sciences Society

سال: 2021

ISSN: ['2180-4206', '0126-6705']

DOI: https://doi.org/10.1007/s40840-021-01108-9