Conormal bundles with vanishing Maslov form

1990 ◽  
Vol 109 (4) ◽  
pp. 305-310 ◽  
Author(s):  
Izu Vaisman
Keyword(s):  
Maslov Form

scholarly journals Hadamard-type formulas via the Maslov form

2016 ◽  
Vol 17 (1) ◽  
pp. 443-472 ◽  
Author(s):  
Yuri Latushkin ◽  
Alim Sukhtayev
Keyword(s):  
Maslov Form

Maslov form and J-volume of totally real immersions

1998 ◽  
Vol 25 (3-4) ◽  
pp. 271-290 ◽  
Author(s):  
Vincent Borrelli
Keyword(s):  
Maslov Form ◽  
Totally Real

The Maslov form in non-invariant slant submanifolds of S-space-forms

2011 ◽  
Vol 191 (4) ◽  
pp. 803-818 ◽  
Author(s):  
Joaquín Barrera ◽  
Alfonso Carriazo ◽  
Luis M. Fernández ◽  
Alicia Prieto-Martín
Keyword(s):  
Space Forms ◽  
Slant Submanifolds ◽  
Maslov Form

scholarly journals Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form

1993 ◽  
Vol 45 (4) ◽  
pp. 565-582 ◽  
Author(s):  
Ildefonso Castro ◽  
Francisco Urbano
Keyword(s):  
Euclidean Plane ◽  
Lagrangian Surfaces ◽  
Maslov Form

scholarly journals A Closed Form for Slant Submanifolds of Generalized Sasakian Space Forms

Mathematics ◽  
2019 ◽  
Vol 7 (12) ◽  
pp. 1238
Author(s):  
Pablo Alegre ◽  
Joaquín Barrera ◽  
Alfonso Carriazo
Keyword(s):  
Closed Form ◽  
Mean Curvature ◽  
Second Fundamental Form ◽  
Space Forms ◽  
Equality Case ◽  
Slant Submanifolds ◽  
The Second Fundamental Form ◽  
Sasakian Space Forms ◽  
Maslov Form ◽  
The Mean

The Maslov form is a closed form for a Lagrangian submanifold of C m , and it is a conformal form if and only if M satisfies the equality case of a natural inequality between the norm of the mean curvature and the scalar curvature, and it happens if and only if the second fundamental form satisfies a certain relation. In a previous paper we presented a natural inequality between the norm of the mean curvature and the scalar curvature of slant submanifolds of generalized Sasakian space forms, characterizing the equality case by certain expression of the second fundamental form. In this paper, first, we present an adapted form for slant submanifolds of a generalized Sasakian space form, similar to the Maslov form, that is always closed. And, in the equality case, we studied under which circumstances the given closed form is also conformal.

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