scholarly journals Canonical Cartan connections on maximally minimal generic submanifolds $\boldsymbol{M^5 \subset \mathbb{C}^4}$

2014 ◽  
Vol 21 (0) ◽  
pp. 153-166
Author(s):  
Samuel Pocchiola ◽  
Joël Merker ◽  
Masoud Sabzevari
Keyword(s):  
Cartan Connections ◽  
Generic Submanifolds

Reduction theorem of the codimension of minimal generic submanifolds in a complex projective space

1995 ◽  
Vol 54 (2) ◽  
pp. 137-143
Author(s):  
Sung-Baik Lee ◽  
Seung-Gook Han ◽  
Nam-Gil Kim ◽  
Masahiro Kon
Keyword(s):  
Projective Space ◽  
Complex Projective Space ◽  
Reduction Theorem ◽  
Generic Submanifolds ◽  
Complex Projective

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

1995 ◽  
Vol 18 (2) ◽  
pp. 331-340
Author(s):  
M. Hasan shahid ◽  
A. Sharfuddin
Keyword(s):  
Necessary Conditions ◽  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Kahler Manifold ◽  
Generic Submanifolds ◽  
Locally Conformal Kähler ◽  
Generic Submanifold ◽  
Locally Conformal ◽  
Totally Real

The study ofCR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared onCR-submanifolds of a Kähler manifold. Also, it has been studied that generic submanifolds of Kähler manifolds [2] are generalisations of holomorphic submanifolds, totally real submanifolds andCR-submanifolds of Kähler manifolds. On the other hand, many examplesC2of generic surfaces in which are notCR-submanifolds have been given by Chen [3] and this leads to the present paper where we obtain some necessary conditions for a generic submanifolds in a locally conformal Kähler manifold with four canonical strucrures, denoted byP,F,tandf, to have parallelP,Fandt. We also prove that for a generic submanifold of a locally conformal Kähler manifold,Fis parallel ifftis parallel.

scholarly journals Parabolic geometries and canonical Cartan connections

2000 ◽  
Vol 29 (3) ◽  
pp. 453-505 ◽  
Author(s):  
Andreas ČAP ◽  
Hermann SCHICHL
Keyword(s):  
Cartan Connections ◽  
Parabolic Geometries

GAUGE-NATURAL NOETHER CURRENTS AND CONNECTION FIELDS

2011 ◽  
Vol 08 (01) ◽  
pp. 177-185 ◽  
Author(s):  
MARCO FERRARIS ◽  
MAURO FRANCAVIGLIA ◽  
MARCELLA PALESE ◽  
EKKEHART WINTERROTH
Keyword(s):  
Variational Problems ◽  
Conserved Quantities ◽  
Cartan Connections ◽  
Natural Bundles

We study geometric aspects concerned with symmetries and conserved quantities in gauge-natural invariant variational problems and investigate implications of the existence of a reductive split structure associated with canonical Lagrangian conserved quantities on gauge-natural bundles. In particular, we characterize the existence of covariant conserved quantities in terms of principal Cartan connections on gauge-natural prolongations.

scholarly journals Cartan connections and path structures with large automorphism groups

2021 ◽  
Author(s):  
E. Falbel ◽  
M. Mion-Mouton ◽  
J. M. Veloso
Keyword(s):  
Automorphism Group ◽  
Automorphism Groups ◽  
Compact Manifolds ◽  
Contact Form ◽  
Cartan Connection ◽  
Cartan Connections ◽  
Path Structure

In this paper, we classify compact manifolds of dimension three equipped with a path structure and a fixed contact form (which we refer to as a strict path structure) under the hypothesis that their automorphism group is non-compact. We use a Cartan connection associated to the structure and show that its curvature is constant.

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