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[PDF] Top 20 A Note on Invariant Submanifolds of (LCS)n - Manifold

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A Note on Invariant Submanifolds of (LCS)n - Manifold

A Note on Invariant Submanifolds of (LCS)n - Manifold

... ambient manifold. The invariant submanifolds have been studied by many geometers like Yano and Ishihara [25], Kon [6, 7], Ozgur and Murathan [11], Sular and Ozgur [23], Atcken [2], Anitha and ... See full document

5

On Geometry of Submanifolds of (LCS)

On Geometry of Submanifolds of (LCS)𝑛 Manifolds

... (LCS)- manifold M is invariant if and only if the induced structure ψ, g on M is an almost product Riemannian structure whenever ψ is nontrivial or the induced structure ψ, V, μ, g on M is a ... See full document

12

Invariant submanifolds of N(κ)-contact metric manifolds

Invariant submanifolds of N(κ)-contact metric manifolds

... an invariant submanifold of an N(κ)- contact met- ric manifold is totally geodesic condition is equivalent to parallel or pseudo-parallel or semi- parallelity of the ...into N(κ)-manifolds ... See full document

18

On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection

On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection

... = (7) for any X , Y ∈ Γ ( TM ) and N ∈ Γ ( TM ⊥ ) . ∇ ⊥ is the connection in the normal bundle, h is the second fundamental from of M and A N is the Weingarten endomorphism associated with N . The ... See full document

5

Submanifolds of F structure manifold satisfying FK+(−)K+1F=0

Submanifolds of F structure manifold satisfying FK+(−)K+1F=0

... Introduction. Invariant submanifolds have been studied by Blair et ...any invariant submanifold of codimension 2 in a contact Riemannian manifold is also a contact Riemannian ...-structure ... See full document

6

Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection

Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection

... field N on M, where σ, A, and ∇ ⊥ are the second fundamental form, the shape operator, and the normal connection, ...the manifold is said to be totally ...A N is related ... See full document

19

Semi invariant warped product submanifolds of almost contact manifolds

Semi invariant warped product submanifolds of almost contact manifolds

... -differentiable manifold endowed with the almost contact metric structure (j, ξ, h, g), where j is a tensor field of type (1, 1), ξ is a vector field, h is a 1-form and g is a Riemannian metric on M ¯ , all these ... See full document

12

Semi invariant warped product submanifolds of cosymplectic manifolds

Semi invariant warped product submanifolds of cosymplectic manifolds

... Bishop and O ’ Neill [1] introduced the notion of warped product manifolds in order to construct a large variety of manifolds of negative curvature. Later on, the geometrical aspects of these manifolds have been studied ... See full document

12

Application of the invariant manifold reduction to plasma instabilities

Application of the invariant manifold reduction to plasma instabilities

... the invariant manifold reduction to low frequency collisional drift waves in a sheared plasma ...the invariant manifold reduction between this case and that of the tearing modes, is the ... See full document

132

6. Some results on $(LCS)_{2n+1}$-Manifolds

6. Some results on $(LCS)_{2n+1}$-Manifolds

... Riemannian manifold M is called locally symmetric if its curvature tensor R is parallel, that is, ∇R = 0, where ∇ denotes the Levi-Civita ...symmetric manifold the notion of semi-symmetric manifold ... See full document

7

A note on Marcinkiewicz integrals supported by submanifolds

A note on Marcinkiewicz integrals supported by submanifolds

... Throughout this note, we denote by p the conjugate index of p, i.e. 1/p + 1/p = 1. The letter C or c, sometimes with certain parameters, will stand for positive constants not necessarily the same one at each ... See full document

22

Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes

Anti-holomorphic involutive isometry of hyper-Kähler manifolds and branes

... real manifold of dimension 2d, but it need not be ...Let N be the normal bundle of S. As the differential of σ acts on N as multiplication by − 1, and the rank of N is even, we conclude that ... See full document

8

CR-SUBMANIFOLDS OF A NEARLY -LORENTZIAN TRANS SASAKIAN MANIFOLD

CR-SUBMANIFOLDS OF A NEARLY -LORENTZIAN TRANS SASAKIAN MANIFOLD

... for any X, Y T M ¯ . Now we prove the following proposition. Proposition 5.1. Let M be a ξ-vertical CR-submanifold of a nearly δ-Lorentzian trans Sasakian manifold M. Then, the distribution ¯ D is integrable if ... See full document

10

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

... ON GENERIC SUBMANIFOLDS OF A LOCALLY CONFORMAL KAHLER MANIFOLD WITH PARALLEL CANONICAL STRUCTURES.. SHARFUDDIN Department of Mathematics Faculty of Natural Sciences, Jamia Millia Islamia[r] ... See full document

10

Geometric characterization on the solvability of regulator equations

Geometric characterization on the solvability of regulator equations

... solution manifold N may not be unique, thus a minimal output zeroing control invariant C ∗ may not be con- tained in a solution manifold ...control invariant manifold by noting ... See full document

6

A note on the structural stability of the equilibrium manifold

A note on the structural stability of the equilibrium manifold

... equilibrium manifold approach ...equilibrium manifold E(r) ⊂ S × Ω(r) is the set of prices and endowments such that aggregate excess demand is ...equilibrium manifold E(r) of the projection (p, ω) 7→ ... See full document

10

A note on power invariant rings

A note on power invariant rings

... formal power series ring R[[X]] and S[[X]] are isomorphic... Then" what is necessary.[r] ... See full document

7

Generic submanifolds of a locally conformal Kaehler manifold II

Generic submanifolds of a locally conformal Kaehler manifold II

... The purpose of this paper is to study generic submanifolds with parallel structures, generic product submanifolds and totally umbilical submanifolds of a locally conformal Kaehler manifo[r] ... See full document

8

Semi-invariant submanifolds of a Kenmotsu manifold with a generalized almost $r$-contact structure admitting a semi-symmetric metric connection

Semi-invariant submanifolds of a Kenmotsu manifold with a generalized almost $r$-contact structure admitting a semi-symmetric metric connection

... semi-invariant submanifolds [6] or contact CR-submanifolds [5], as a generalization of invariant and anti-invariant submanifolds of an almost contact metric manifold and ... See full document

9

ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY HYPERBOLIC COSYMPLECTIC MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION

ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY HYPERBOLIC COSYMPLECTIC MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION

... Kaehler manifold as generalization of invariant and anti-invariant sub ...CR-sub manifold of Kaehler manifold is a semi-invariant sub manifold to sub manifolds of an ... See full document

10

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