GEODESIC TUBES ON LOCALLY SYMMETRIC SPACES

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Published: Dec 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4512
Keywords:
LOCALLY SYMMETRIC SPACES GEODESIC TUBES

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B. J. PAPANTONIOU
University of Patras, Department of Mathematics, 2·6110, Patras, Greece.

Abstract




In this paper we state and prove a characteristic relation which exists, between the eigenspaces of the Ricci transformation $R(N, - )N$ acting on the orthocomplement space of $N$ in $T_mM$ where $m \in M$, $M$ being a locally symmetric space, and the Weingarten map $S_N$ of small enough geodesic tubes of $M$.




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How to Cite
PAPANTONIOU, B. J. (1993). GEODESIC TUBES ON LOCALLY SYMMETRIC SPACES. Tamkang Journal of Mathematics, 24(4), 405–416. https://doi.org/10.5556/j.tkjm.24.1993.4512
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Vol. 24 No. 4 (1993)
Section
Papers
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