Results 101 to 110 of about 7,654 (232)
On the sectional curvature of lightlike submanifolds
Journal of Inequalities and Applications, 2016 The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
doaj +1 more source
𝐶𝑅 submanifolds of a Kaehler manifold. I [PDF]
, 1978 The differential geometry of CR submanifolds of a Kaehler manifold is studied. Theorems about totally geodesic CR submanifolds and totally umbilical CR submanifolds are given.
Aurel Bejancu
core +1 more source
Graded lagrangian submanifolds [PDF]
Bulletin de la Société mathématique de France, 2000 LaTex2e, 32 pages, one eps ...
openaire +3 more sources
New results toward the classification of biharmonic submanifolds in 𝕊n
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic ...
,
doaj +1 more source
ON THE GEOMETRY OF PARACOMPLEX SUBMANIFOLDS
Demonstratio Mathematica, 2001 The paracomplex submanifolds \(M\) in an almost parahermitian manifold (\(\overline M,\overline J,\overline g)\) with \(\overline J^2=I\), \(\overline g(X,\overline JY)+\overline g(\overline JX,Y)=0\) are characterized by \(\overline J(T_xM)=T_xM\) [see \textit{V. Cruceanu}, \textit{P. Fortuny} and \textit{P. M. Gradea} in Rocky Mt. J. Math. 26, 83-115
Al-Aqeel, Adnan, Bejancu, Aurel
openaire +2 more sources
On total curvature of immersions and minimal submanifolds of spheres [PDF]
, 1993 summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq V/R^2$, where $\mu $ is the mean curvature field, $V$ the volume of the given submanifold and $R$ is the radius of the smallest sphere enclosing the ...
Rotondaro, Giovanni
core
A General Type of Almost Contact Manifolds [PDF]
Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors.
Catalin Angelo Ioan
core +1 more source
About topology of saddle submanifolds [PDF]
, 2007 The (k,ε)-saddle (in particular, k-saddle, i.e. ε=0) submanifolds are defined in terms of eigenvalues of the second fundamental form. This class extends the class of submanifolds with extrinsic curvature bounded from above, i.e.
Rovenski, V., Borisenko, A.
core +1 more source
Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical SciencesPurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker +2 more
doaj +1 more source
f-BIMINIMAL SUBMANIFOLDS OF GENERALIZED SPACE FORMS [PDF]
, 2019 We study f-biminimal submanifolds in generalized complex space forms and generalized Sasakian space forms. Then, we analyze f-biminimal submanifolds in these spaces.
KARACA, FATMA
core +1 more source