Results 101 to 110 of about 10,201 (226)

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
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Deformation theory of Cayley submanifolds [PDF]

, 2017
Cayley submanifolds are naturally arising volume minimising submanifolds of $Spin(7)$- manifolds. In the special case that the ambient manifold is a four-dimensional Calabi--Yau manifold, a Cayley submanifold might be a complex surface, a special ...

core   +2 more sources

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe 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, Ankit Yadav, Ramandeep Kaur   +2 more
doaj   +1 more source

Special Lagrangian submanifolds with isolated conical singularities. V. Survey and applications [PDF]

, 2003
This is the last in a series of five papers math.DG/0211294, math.DG/0211295, math.DG/0302355, math.DG/0302356 studying compact special Lagrangian submanifolds (SL m-folds) X in (almost) Calabi-Yau m-folds M with singularities x_1,...,x_n locally ...
Joyce, D, Joyce, Dominic
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ON FRAMED METRIC SUBMANIFOLDS [PDF]

application/pdfIn the present paper, we have obtained the necessary and sufficient conditions for framed metric submanifolds of almost Hermite manifold to posses a certain structure. Also the conditions for framed metric submanifolds of Kahler and almost
Mishra, R. S., 29417, Rathore, M. P. S., 29416   +3 more
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Brownian Motion on a Submanifold [PDF]

Communications in Analysis and Geometry, 2004
Consider an \(n\)-dimensional complete Riemannian manifold \(N\), and a closed \(m\)-dimensional submanifold \(M\). Using that the Laplacian on \(N\) is got by projection of the horizontal Laplacian on \(O(N): (\Delta^N\varphi)\circ\pi= \sum^n_{i=1} (H^N_i)^2(\varphi\circ\pi)\), one obtains classically the Brownian motion on \(N\) as \(\pi(p^N_t ...
openaire   +1 more source

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
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Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature ...
Dehe Li, Sicheng Li
doaj   +1 more source

Recent Developments in Chen’s Biharmonic Conjecture and Some Related Topics

Mathematics
The study of biharmonic submanifolds in Euclidean spaces was introduced in the middle of the 1980s by the author in his program studying finite-type submanifolds.
Bang-Yen Chen
doaj   +1 more source

Kahler manifolds and their relatives [PDF]

, 2010
Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
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