Generalized 2-symmetric submanifolds |
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| Authors: | A Carfagna D'Andrea G Romani |
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| Institution: | (1) Present address: Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Via Antonio Scarpa 10, 00161, Roma;(2) Present address: Dipartimento di Matematica «G. Castelnuovo», P.le Aldo Moro 5, 00185, Roma |
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| Abstract: | Summary
In this note we give two families of generalized 2-symmetric submanifolds. The first family consists of submanifolds of
R
N
which are mapped into theirselves by the reflection of
R
N
with respect to each first normal space and it is characterized in a differentiable way. The second family consists of submanifolds obtained by introducing a homomorphism between two Lie groups associated with symmetric
R
-spaces. All these submanifolds are mapped into theirselves by the reflection of
R
N
with respect to subspaces of the normal spaces which contain the first normal spaces. |
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| Keywords: | |
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